Atkin-Lehner |
3- 5+ 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
35535b |
Isogeny class |
Conductor |
35535 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-342991232210115 = -1 · 312 · 5 · 233 · 1032 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -6 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13841,1084796] |
[a1,a2,a3,a4,a6] |
Generators |
[-16630:95882:125] [-838:9449:8] |
Generators of the group modulo torsion |
j |
-293263149980975104/342991232210115 |
j-invariant |
L |
7.6546852820815 |
L(r)(E,1)/r! |
Ω |
0.48909206481996 |
Real period |
R |
1.956350816308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106605g1 |
Quadratic twists by: -3 |