Atkin-Lehner |
2+ 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72226h |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
12567667317912784 = 24 · 713 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3 1 7- 11- 5 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58564,-801088] |
[a1,a2,a3,a4,a6] |
j |
188812976774409/106823409616 |
j-invariant |
L |
5.2948887288786 |
L(r)(E,1)/r! |
Ω |
0.33093054638234 |
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 |
10318f1 |
Quadratic twists by: -7 |