Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810j |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
55696000 = 27 · 53 · 592 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 2 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7831,263469] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-22:1] |
Generators of the group modulo torsion |
j |
15257199565849/16000 |
j-invariant |
L |
5.1343703019676 |
L(r)(E,1)/r! |
Ω |
1.6700363549017 |
Real period |
R |
0.43920090096048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34810b1 |
Quadratic twists by: -59 |