Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8778o |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2080 |
Modular degree for the optimal curve |
Δ |
-4977126 = -1 · 2 · 35 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-67,-265] |
[a1,a2,a3,a4,a6] |
j |
-33293019313/4977126 |
j-invariant |
L |
1.6549134538987 |
L(r)(E,1)/r! |
Ω |
0.82745672694934 |
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 |
70224ch1 26334t1 61446dh1 96558m1 |
Quadratic twists by: -4 -3 -7 -11 |