Atkin-Lehner |
2- 3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520br |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-287262022164480 = -1 · 213 · 36 · 5 · 112 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 3 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22720,-1557580] |
[a1,a2,a3,a4,a6] |
Generators |
[1058:34056:1] |
Generators of the group modulo torsion |
j |
-316670684057281/70132329630 |
j-invariant |
L |
8.7161137387557 |
L(r)(E,1)/r! |
Ω |
0.19216178283495 |
Real period |
R |
0.31498754219094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14190m1 |
Quadratic twists by: -4 |