Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600bw |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
2 |
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 |
1.0393087113012 |
L(r)(E,1)/r! |
Ω |
0.51965435605375 |
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 |
61600bz1 123200gv1 61600p1 |
Quadratic twists by: -4 8 5 |