Atkin-Lehner |
2- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400ba |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-28700000000 = -1 · 28 · 58 · 7 · 41 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 0 5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1375,21250] |
[a1,a2,a3,a4,a6] |
Generators |
[25:50:1] |
Generators of the group modulo torsion |
j |
-2874960/287 |
j-invariant |
L |
3.9970023691067 |
L(r)(E,1)/r! |
Ω |
1.1516902784713 |
Real period |
R |
0.28921276578326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800v1 57400d1 |
Quadratic twists by: -4 5 |