Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200er |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
295803200 = 26 · 52 · 75 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-243,-1123] |
[a1,a2,a3,a4,a6] |
Generators |
[-22260:41239:3375] |
Generators of the group modulo torsion |
j |
995883520/184877 |
j-invariant |
L |
9.7089909084048 |
L(r)(E,1)/r! |
Ω |
1.2242859610766 |
Real period |
R |
7.9303293546218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200fw1 61600f1 123200hv1 |
Quadratic twists by: -4 8 5 |