Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gk |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.2201011686912E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-649183899,-6366484463542] |
[a1,a2,a3,a4,a6] |
Generators |
[-14689890547743568197678965:764039692779877951669602:998610144397175252125] |
Generators of the group modulo torsion |
j |
86129359107301290313/9166294368 |
j-invariant |
L |
8.0128429909423 |
L(r)(E,1)/r! |
Ω |
0.029909394596838 |
Real period |
R |
33.487985541716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9702bv3 25872bo4 11088bz3 |
Quadratic twists by: -4 -3 -7 |