Atkin-Lehner |
2+ 3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350q |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-4372568899488000000 = -1 · 211 · 32 · 56 · 177 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -6 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-278701,115427048] |
[a1,a2,a3,a4,a6] |
Generators |
[322:7526:1] |
Generators of the group modulo torsion |
j |
-153220553571282625/279844409567232 |
j-invariant |
L |
3.8543110265167 |
L(r)(E,1)/r! |
Ω |
0.21929154814308 |
Real period |
R |
4.394048769671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3774n1 |
Quadratic twists by: 5 |