Atkin-Lehner |
2+ 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778d |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
141680 |
Modular degree for the optimal curve |
Δ |
-1732116452393091072 = -1 · 223 · 3 · 7 · 11 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15650,-63309836] |
[a1,a2,a3,a4,a6] |
j |
423860920528484375/1732116452393091072 |
j-invariant |
L |
0.86014020487828 |
L(r)(E,1)/r! |
Ω |
0.12287717212547 |
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 |
70224cw1 26334bo1 61446x1 96558ce1 |
Quadratic twists by: -4 -3 -7 -11 |