Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635f |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-33702952285975 = -1 · 52 · 72 · 317 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10591,-508412] |
[a1,a2,a3,a4,a6] |
Generators |
[3084912:24204556:19683] |
Generators of the group modulo torsion |
j |
-148035889/37975 |
j-invariant |
L |
5.1116848547813 |
L(r)(E,1)/r! |
Ω |
0.23218253179308 |
Real period |
R |
11.007901445697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1085c1 |
Quadratic twists by: -31 |