Atkin-Lehner |
2+ 3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
71094k |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1618944 |
Modular degree for the optimal curve |
Δ |
-6277013787686198016 = -1 · 28 · 3 · 179 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 -6 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-505323,-183471530] |
[a1,a2,a3,a4,a6] |
Generators |
[8858451:129317656:9261] |
Generators of the group modulo torsion |
j |
-120334284953/52931328 |
j-invariant |
L |
5.4885382053025 |
L(r)(E,1)/r! |
Ω |
0.087660462524989 |
Real period |
R |
5.2176108871357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71094a1 |
Quadratic twists by: 17 |