Atkin-Lehner |
2- 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254ca |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-1910153898576 = -1 · 24 · 310 · 72 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -3 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56337,5123775] |
[a1,a2,a3,a4,a6] |
Generators |
[253:2546:1] |
Generators of the group modulo torsion |
j |
-403561069106987617/38982732624 |
j-invariant |
L |
7.0596353461986 |
L(r)(E,1)/r! |
Ω |
0.79664766217682 |
Real period |
R |
0.36923659923035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999725072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254cf1 |
Quadratic twists by: -7 |