Atkin-Lehner |
2- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334bg |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-2858703755984384 = -1 · 29 · 7 · 118 · 612 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11- 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49552,4960000] |
[a1,a2,a3,a4,a6] |
j |
-62772054433/13336064 |
j-invariant |
L |
7.7921925120032 |
L(r)(E,1)/r! |
Ω |
0.43289958024366 |
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 |
103334f1 |
Quadratic twists by: -11 |