Atkin-Lehner |
2- 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254bp |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
-140440479347322 = -1 · 2 · 36 · 710 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28862,1959509] |
[a1,a2,a3,a4,a6] |
j |
-9412901617/497178 |
j-invariant |
L |
4.5966990886242 |
L(r)(E,1)/r! |
Ω |
0.57458737680805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254ci1 |
Quadratic twists by: -7 |