Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466v |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-24947189243724384 = -1 · 25 · 323 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12735,7622509] |
[a1,a2,a3,a4,a6] |
j |
-6394640503489/698390001504 |
j-invariant |
L |
1.240460472154 |
L(r)(E,1)/r! |
Ω |
0.3101151180385 |
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 |
91728fj1 3822u1 11466k1 |
Quadratic twists by: -4 -3 -7 |