Atkin-Lehner |
2- 3- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94860p |
Isogeny class |
Conductor |
94860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-162198567364535280 = -1 · 24 · 317 · 5 · 17 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -1 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-517197,144468781] |
[a1,a2,a3,a4,a6] |
Generators |
[140:8649:1] |
Generators of the group modulo torsion |
j |
-1311729218364722944/13905912839895 |
j-invariant |
L |
6.8561917261885 |
L(r)(E,1)/r! |
Ω |
0.3245682093057 |
Real period |
R |
1.7603366348501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31620i1 |
Quadratic twists by: -3 |