Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720cj |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
27437936768000 = 210 · 53 · 118 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21941,1217995] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:1331:1] |
Generators of the group modulo torsion |
j |
643956736/15125 |
j-invariant |
L |
1.9570959372038 |
L(r)(E,1)/r! |
Ω |
0.66530346579967 |
Real period |
R |
1.470829506991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720q1 9680bc1 3520u1 |
Quadratic twists by: -4 8 -11 |