Atkin-Lehner |
7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105413g |
Isogeny class |
Conductor |
105413 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-2975070097471087 = -1 · 7 · 112 · 378 |
Discriminant |
Eigenvalues |
1 0 0 7- 11- 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7273,2611560] |
[a1,a2,a3,a4,a6] |
Generators |
[-567528:2588088:4913] |
Generators of the group modulo torsion |
j |
16581375/1159543 |
j-invariant |
L |
6.8011610792939 |
L(r)(E,1)/r! |
Ω |
0.34415305482411 |
Real period |
R |
9.8810122081323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2849b1 |
Quadratic twists by: 37 |