Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600bz |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
295803200000000 = 212 · 58 · 75 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ 1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24333,-1195963] |
[a1,a2,a3,a4,a6] |
j |
995883520/184877 |
j-invariant |
L |
3.8715321459286 |
L(r)(E,1)/r! |
Ω |
0.38715321443703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600bw1 123200hv1 61600f1 |
Quadratic twists by: -4 8 5 |