Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254cp |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-2019220606943232 = -1 · 224 · 3 · 76 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-65857,-6860407] |
[a1,a2,a3,a4,a6] |
Generators |
[297170:14253263:125] |
Generators of the group modulo torsion |
j |
-268498407453697/17163091968 |
j-invariant |
L |
15.57640653387 |
L(r)(E,1)/r! |
Ω |
0.1484625582745 |
Real period |
R |
8.7431733129911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046g1 |
Quadratic twists by: -7 |