Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778f |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17842850714304 = 26 · 34 · 74 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-304496,64545600] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:11528:1] |
Generators of the group modulo torsion |
j |
3122271870763416214537/17842850714304 |
j-invariant |
L |
2.5509227000474 |
L(r)(E,1)/r! |
Ω |
0.61393936958506 |
Real period |
R |
1.0387518810577 |
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 |
70224cl4 26334bu4 61446y4 96558bw4 |
Quadratic twists by: -4 -3 -7 -11 |