Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778f |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1988150427648 = -1 · 224 · 34 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1104,66816] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:246:1] |
Generators of the group modulo torsion |
j |
148599082115063/1988150427648 |
j-invariant |
L |
2.5509227000474 |
L(r)(E,1)/r! |
Ω |
0.61393936958506 |
Real period |
R |
4.1550075242308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70224cl1 26334bu1 61446y1 96558bw1 |
Quadratic twists by: -4 -3 -7 -11 |