Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126cp |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-36750102208563744 = -1 · 25 · 37 · 710 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-475848,126798048] |
[a1,a2,a3,a4,a6] |
j |
-57865677457/178464 |
j-invariant |
L |
1.4684072880482 |
L(r)(E,1)/r! |
Ω |
0.36710190075707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042dc1 126126bm1 |
Quadratic twists by: -3 -7 |