Atkin-Lehner |
2+ 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440m |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
7203456000 = 210 · 32 · 53 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13840,631312] |
[a1,a2,a3,a4,a6] |
Generators |
[64:60:1] |
Generators of the group modulo torsion |
j |
286327726655044/7034625 |
j-invariant |
L |
5.238242253863 |
L(r)(E,1)/r! |
Ω |
1.2274732453315 |
Real period |
R |
0.35562501357166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999608736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720o1 |
Quadratic twists by: -4 |