Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616ce |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-101909307096528624 = -1 · 24 · 315 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116277,1731121] |
[a1,a2,a3,a4,a6] |
j |
369381632/216513 |
j-invariant |
L |
1.6289760404142 |
L(r)(E,1)/r! |
Ω |
0.20362200971306 |
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 |
38808s1 25872m1 77616cc1 |
Quadratic twists by: -4 -3 -7 |