Atkin-Lehner |
2+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72520a |
Isogeny class |
Conductor |
72520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-27302097536000 = -1 · 210 · 53 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ -2 -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62083,-5959282] |
[a1,a2,a3,a4,a6] |
Generators |
[13393302462682418283681:390778254750786802680572:14473677245728531167] |
Generators of the group modulo torsion |
j |
-4482884196/4625 |
j-invariant |
L |
10.690275051827 |
L(r)(E,1)/r! |
Ω |
0.15121661742804 |
Real period |
R |
35.347553839162 |
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 |
72520l1 |
Quadratic twists by: -7 |