Atkin-Lehner |
7+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
123403b |
Isogeny class |
Conductor |
123403 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
156800 |
Modular degree for the optimal curve |
Δ |
5036940251 = 75 · 173 · 61 |
Discriminant |
Eigenvalues |
-1 0 -1 7+ 0 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28963,1904408] |
[a1,a2,a3,a4,a6] |
Generators |
[98:-41:1] |
Generators of the group modulo torsion |
j |
546881866244433/1025227 |
j-invariant |
L |
2.0855225186925 |
L(r)(E,1)/r! |
Ω |
1.1704269472319 |
Real period |
R |
0.89092384357357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999855157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123403h1 |
Quadratic twists by: 17 |