Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188g |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-193624531056 = -1 · 24 · 33 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-711117,-230812703] |
[a1,a2,a3,a4,a6] |
j |
-51964534050048/253 |
j-invariant |
L |
2.6304756343846 |
L(r)(E,1)/r! |
Ω |
0.082202361414518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100188c1 9108b1 |
Quadratic twists by: -3 -11 |