Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778f |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
57519968292864 = 212 · 38 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19376,963840] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:1457:1] |
Generators of the group modulo torsion |
j |
804546427968299017/57519968292864 |
j-invariant |
L |
2.5509227000474 |
L(r)(E,1)/r! |
Ω |
0.61393936958506 |
Real period |
R |
2.0775037621154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70224cl2 26334bu2 61446y2 96558bw2 |
Quadratic twists by: -4 -3 -7 -11 |