Atkin-Lehner |
2+ 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088k |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1.4682457753112E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 1 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-348405,588218067] |
[a1,a2,a3,a4,a6] |
Generators |
[150564:7239213:64] |
Generators of the group modulo torsion |
j |
-285468475869159424/8961461030952099 |
j-invariant |
L |
8.7466532284802 |
L(r)(E,1)/r! |
Ω |
0.15294252305629 |
Real period |
R |
2.3828813282476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113088x1 7068a1 |
Quadratic twists by: -4 8 |