Atkin-Lehner |
2+ 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950l |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
17203906250000 = 24 · 511 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-98650,-11965500] |
[a1,a2,a3,a4,a6] |
j |
6795193583744929/1101050000 |
j-invariant |
L |
2.155107398974 |
L(r)(E,1)/r! |
Ω |
0.2693884253438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11590n1 |
Quadratic twists by: 5 |