Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91872ba |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
156676120128 = 26 · 37 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 4 11- 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12153,-515320] |
[a1,a2,a3,a4,a6] |
j |
4254678057664/3358113 |
j-invariant |
L |
5.4567052151653 |
L(r)(E,1)/r! |
Ω |
0.45472544555631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91872w1 30624a1 |
Quadratic twists by: -4 -3 |