Atkin-Lehner |
2- 3- 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370v |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
250 |
Product of Tamagawa factors cp |
deg |
40000 |
Modular degree for the optimal curve |
Δ |
-605750400000 = -1 · 210 · 35 · 55 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3280,81152] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:328:1] |
Generators of the group modulo torsion |
j |
-3902595313317121/605750400000 |
j-invariant |
L |
10.298737021204 |
L(r)(E,1)/r! |
Ω |
0.88364964391808 |
Real period |
R |
1.1654774142769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
70110g1 116850g1 |
Quadratic twists by: -3 5 |