Atkin-Lehner |
2+ 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994q |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
328508622 = 2 · 34 · 134 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 2 13+ -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,2] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:25:1] [-18:161:8] |
Generators of the group modulo torsion |
j |
19882681/11502 |
j-invariant |
L |
7.977076301752 |
L(r)(E,1)/r! |
Ω |
1.4506531266164 |
Real period |
R |
0.45824625217449 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994bw1 |
Quadratic twists by: 13 |