Atkin-Lehner |
2+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35378b |
Isogeny class |
Conductor |
35378 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12528 |
Modular degree for the optimal curve |
Δ |
3467044 = 22 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ -3 -2 7+ 1 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58,160] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] [-5:20:1] |
Generators of the group modulo torsion |
j |
25137/4 |
j-invariant |
L |
3.7772403405548 |
L(r)(E,1)/r! |
Ω |
2.3950675694168 |
Real period |
R |
0.26284855792698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35378h1 35378i1 |
Quadratic twists by: -7 -19 |