Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904ck |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
195167608897536 = 232 · 35 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57857,-5333505] |
[a1,a2,a3,a4,a6] |
Generators |
[2330:12915:8] |
Generators of the group modulo torsion |
j |
81706955619457/744505344 |
j-invariant |
L |
9.4436119462699 |
L(r)(E,1)/r! |
Ω |
0.30799861792442 |
Real period |
R |
6.1322430664854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904q1 8976u1 107712ff1 |
Quadratic twists by: -4 8 -3 |