Atkin-Lehner |
2+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650bb |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-3514671875000 = -1 · 23 · 59 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 11+ 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5700,-191000] |
[a1,a2,a3,a4,a6] |
Generators |
[435:8720:1] |
Generators of the group modulo torsion |
j |
-7880599/1352 |
j-invariant |
L |
2.7834820851976 |
L(r)(E,1)/r! |
Ω |
0.27216944374248 |
Real period |
R |
1.2783773807618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650cu1 78650cw1 |
Quadratic twists by: 5 -11 |