Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34790be |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
17906913106250 = 2 · 55 · 79 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4193225,3304642207] |
[a1,a2,a3,a4,a6] |
Generators |
[9342:2189:8] |
Generators of the group modulo torsion |
j |
202062563137299943/443750 |
j-invariant |
L |
7.2881425432497 |
L(r)(E,1)/r! |
Ω |
0.45074957797634 |
Real period |
R |
1.6168939249972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34790t1 |
Quadratic twists by: -7 |