Atkin-Lehner |
2+ 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57040b |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
188800 |
Modular degree for the optimal curve |
Δ |
-638485225600000 = -1 · 210 · 55 · 235 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 2 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31560,-2466400] |
[a1,a2,a3,a4,a6] |
Generators |
[8490:116450:27] |
Generators of the group modulo torsion |
j |
-3395068177692964/623520728125 |
j-invariant |
L |
9.952315418406 |
L(r)(E,1)/r! |
Ω |
0.17732669465169 |
Real period |
R |
5.6124180501239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28520a1 |
Quadratic twists by: -4 |