Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188o |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-153714836339268336 = -1 · 24 · 311 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-594957,177639253] |
[a1,a2,a3,a4,a6] |
j |
-846834944/5589 |
j-invariant |
L |
3.9162523299201 |
L(r)(E,1)/r! |
Ω |
0.32635436460522 |
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 |
33396l1 100188p1 |
Quadratic twists by: -3 -11 |