Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792cj |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
18385920 |
Modular degree for the optimal curve |
Δ |
4.9918284544791E+25 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 6 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106518657,-251952555999] |
[a1,a2,a3,a4,a6] |
Generators |
[-8824:28763:1] |
Generators of the group modulo torsion |
j |
509871621645082002682657/190423143557704974336 |
j-invariant |
L |
4.4466539622818 |
L(r)(E,1)/r! |
Ω |
0.04848016220478 |
Real period |
R |
6.5515073737835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792bm1 14448bg1 |
Quadratic twists by: -4 8 |