Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150v |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
9633792 |
Modular degree for the optimal curve |
Δ |
144492356250000 = 24 · 37 · 58 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-301025776,2010241433198] |
[a1,a2,a3,a4,a6] |
j |
193069973903416820479677169/9247510800 |
j-invariant |
L |
3.0347602833825 |
L(r)(E,1)/r! |
Ω |
0.21676859165292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230v1 |
Quadratic twists by: 5 |