Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960bo |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
113755085840240640 = 212 · 323 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -1 -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139512,-11788144] |
[a1,a2,a3,a4,a6] |
Generators |
[-21680:335212:125] |
Generators of the group modulo torsion |
j |
100570574232064/38096348085 |
j-invariant |
L |
8.2444983752633 |
L(r)(E,1)/r! |
Ω |
0.25501034407109 |
Real period |
R |
8.0825136741873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960bk1 28320b1 |
Quadratic twists by: -4 -3 |