Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34790n |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
26729852800 = 27 · 52 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3431,-77239] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:37:1] |
Generators of the group modulo torsion |
j |
37966934881/227200 |
j-invariant |
L |
8.80074297542 |
L(r)(E,1)/r! |
Ω |
0.62402249139409 |
Real period |
R |
1.0073747451633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
710c1 |
Quadratic twists by: -7 |