Atkin-Lehner |
2- 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376u |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
206142916786126848 = 234 · 35 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 11- 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3988776,-3064843152] |
[a1,a2,a3,a4,a6] |
j |
1713494904330643029289/50327860543488 |
j-invariant |
L |
3.4185377280749 |
L(r)(E,1)/r! |
Ω |
0.10682930400204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422d1 106128bp1 |
Quadratic twists by: -4 -3 |