Atkin-Lehner |
2- 3+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
72816l |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-32456790830481408 = -1 · 231 · 35 · 37 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 1 -3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5696,-8668160] |
[a1,a2,a3,a4,a6] |
Generators |
[197:246:1] [288:4096:1] |
Generators of the group modulo torsion |
j |
4988815677503/7924021198848 |
j-invariant |
L |
7.5799279910172 |
L(r)(E,1)/r! |
Ω |
0.17179722703597 |
Real period |
R |
5.5151705020014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9102h1 |
Quadratic twists by: -4 |