Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520cd |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-872939520 = -1 · 219 · 32 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 -2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95,1345] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:3:1] [-3:32:1] |
Generators of the group modulo torsion |
j |
357911/3330 |
j-invariant |
L |
7.8112813396027 |
L(r)(E,1)/r! |
Ω |
1.158232795787 |
Real period |
R |
0.84301719913462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520bj1 8880u1 106560eu1 |
Quadratic twists by: -4 8 -3 |