Atkin-Lehner |
5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113735g |
Isogeny class |
Conductor |
113735 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1987200 |
Modular degree for the optimal curve |
Δ |
452490661826778125 = 55 · 238 · 432 |
Discriminant |
Eigenvalues |
0 2 5- 2 5 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2830855,1833920306] |
[a1,a2,a3,a4,a6] |
Generators |
[960:337:1] |
Generators of the group modulo torsion |
j |
32037163073536/5778125 |
j-invariant |
L |
10.272728735855 |
L(r)(E,1)/r! |
Ω |
0.28765101266929 |
Real period |
R |
3.5712472006654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113735b1 |
Quadratic twists by: -23 |