Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960bh |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
205148160 |
Modular degree for the optimal curve |
Δ |
-1.4819917255414E+34 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 4 -3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17313113157,-5791074962949142] |
[a1,a2,a3,a4,a6] |
Generators |
[107738843806369605633280489432146828024803941802339348932646753555161314497835450893:-102545506629820987078051101903766507214900284965584425641630312101229007919967583076352:120540719843935250208434990228084646151087753004442667313243064655040652726113] |
Generators of the group modulo torsion |
j |
192203697666261893287480365959/4963160303408775168000000000 |
j-invariant |
L |
5.8167246334415 |
L(r)(E,1)/r! |
Ω |
0.006034982480255 |
Real period |
R |
120.4793189639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3870u1 123840gm1 10320w1 |
Quadratic twists by: -4 8 -3 |