Atkin-Lehner |
2+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46354q |
Isogeny class |
Conductor |
46354 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
197568 |
Modular degree for the optimal curve |
Δ |
735393803444608 = 27 · 710 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11- -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-97291,-11615306] |
[a1,a2,a3,a4,a6] |
j |
360541197625/2603392 |
j-invariant |
L |
2.1635200906355 |
L(r)(E,1)/r! |
Ω |
0.2704400113591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46354d1 |
Quadratic twists by: -7 |