Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696q |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-44819869710528 = -1 · 26 · 33 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -5 11- 2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-322102] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
0.58667301942629 |
L(r)(E,1)/r! |
Ω |
0.29333652587533 |
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 |
69696ej1 1089b1 69696q2 69696p1 |
Quadratic twists by: -4 8 -3 -11 |