Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312bd |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
272876745024 = 26 · 35 · 132 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 -1 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12865,556817] |
[a1,a2,a3,a4,a6] |
Generators |
[32:423:1] |
Generators of the group modulo torsion |
j |
3679653013295104/4263699141 |
j-invariant |
L |
8.9938474543046 |
L(r)(E,1)/r! |
Ω |
0.97516542650666 |
Real period |
R |
0.30742980097382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312bp1 1833d1 |
Quadratic twists by: -4 8 |