Atkin-Lehner |
2+ 3- 7+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
99918f |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
301651639039567908 = 22 · 314 · 76 · 133 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13+ -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-191826,18688320] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:6345:1] |
Generators of the group modulo torsion |
j |
1070828373206090017/413788256570052 |
j-invariant |
L |
5.7783256110691 |
L(r)(E,1)/r! |
Ω |
0.27955062725912 |
Real period |
R |
5.1675126444605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33306q1 |
Quadratic twists by: -3 |