Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200dt |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
11858000000000 = 210 · 59 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6333,-103037] |
[a1,a2,a3,a4,a6] |
j |
14047232/5929 |
j-invariant |
L |
2.2229810739118 |
L(r)(E,1)/r! |
Ω |
0.55574542408917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200gw1 15400x1 123200da1 |
Quadratic twists by: -4 8 5 |