Atkin-Lehner |
2- 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103334bc |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1324224 |
Modular degree for the optimal curve |
Δ |
-560305936172939264 = -1 · 211 · 73 · 118 · 612 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11- 5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,70238,35323311] |
[a1,a2,a3,a4,a6] |
j |
178771487807/2613868544 |
j-invariant |
L |
4.7567303057019 |
L(r)(E,1)/r! |
Ω |
0.21621501152751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103334m1 |
Quadratic twists by: -11 |