Atkin-Lehner |
2+ 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950q |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
85680 |
Modular degree for the optimal curve |
Δ |
-8171855468750 = -1 · 2 · 510 · 193 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 -3 3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2174,-131702] |
[a1,a2,a3,a4,a6] |
Generators |
[38:59:1] |
Generators of the group modulo torsion |
j |
116436575/836798 |
j-invariant |
L |
4.8268009866982 |
L(r)(E,1)/r! |
Ω |
0.36691206717693 |
Real period |
R |
4.3850660856914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57950bz1 |
Quadratic twists by: 5 |