Atkin-Lehner |
2+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
56074c |
Isogeny class |
Conductor |
56074 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101200 |
Modular degree for the optimal curve |
Δ |
-125534433872 = -1 · 24 · 236 · 53 |
Discriminant |
Eigenvalues |
2+ -1 4 0 4 1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3978,-99740] |
[a1,a2,a3,a4,a6] |
Generators |
[155880:2094850:729] |
Generators of the group modulo torsion |
j |
-47045881/848 |
j-invariant |
L |
5.5400044811909 |
L(r)(E,1)/r! |
Ω |
0.30024427178857 |
Real period |
R |
9.2258287695713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106b1 |
Quadratic twists by: -23 |