Atkin-Lehner |
2- 3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254ct |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-91310072781312 = -1 · 29 · 36 · 72 · 115 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4607,-475623] |
[a1,a2,a3,a4,a6] |
Generators |
[118:733:1] |
Generators of the group modulo torsion |
j |
-220692797906497/1863470873088 |
j-invariant |
L |
16.439412110114 |
L(r)(E,1)/r! |
Ω |
0.25452856471424 |
Real period |
R |
0.23921366798442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254bi1 |
Quadratic twists by: -7 |