Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616fz |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-168462323975894256 = -1 · 24 · 319 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207417,41375747] |
[a1,a2,a3,a4,a6] |
Generators |
[4970:720153:125] |
Generators of the group modulo torsion |
j |
-719152519936/122762871 |
j-invariant |
L |
7.8403300047837 |
L(r)(E,1)/r! |
Ω |
0.31009672106921 |
Real period |
R |
6.3208746445558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404l1 25872bj1 11088bl1 |
Quadratic twists by: -4 -3 -7 |