Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904bx |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
2157431540655587328 = 230 · 37 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-426657,-80555967] |
[a1,a2,a3,a4,a6] |
Generators |
[-30148851281:-369969565696:73560059] |
Generators of the group modulo torsion |
j |
32765849647039657/8229948198912 |
j-invariant |
L |
5.4429699268172 |
L(r)(E,1)/r! |
Ω |
0.19024698161 |
Real period |
R |
14.305009942222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904x1 8976y1 107712dw1 |
Quadratic twists by: -4 8 -3 |