Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400bo |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33546240 |
Modular degree for the optimal curve |
Δ |
-3.43775896875E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 0 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,76693867,112875842637] |
[a1,a2,a3,a4,a6] |
j |
194879272239195815936/134287459716796875 |
j-invariant |
L |
4.1288761699359 |
L(r)(E,1)/r! |
Ω |
0.04128876556261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ie1 6900g1 22080bm1 |
Quadratic twists by: -4 8 5 |