Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424bu |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-1526784 = -1 · 210 · 3 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -3 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-581,5589] |
[a1,a2,a3,a4,a6] |
Generators |
[13:8:1] |
Generators of the group modulo torsion |
j |
-21217755136/1491 |
j-invariant |
L |
4.9832333106443 |
L(r)(E,1)/r! |
Ω |
2.5487680053258 |
Real period |
R |
0.977576874479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999795459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424u1 23856bb1 |
Quadratic twists by: -4 8 |