Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650s |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
486000 |
Modular degree for the optimal curve |
Δ |
-899620820312500 = -1 · 22 · 510 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 11- 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-77200,-8413500] |
[a1,a2,a3,a4,a6] |
Generators |
[1501012805225934:1271428363560144:4664997088829] |
Generators of the group modulo torsion |
j |
-2941225/52 |
j-invariant |
L |
7.233279463104 |
L(r)(E,1)/r! |
Ω |
0.14305692317432 |
Real period |
R |
25.28112342487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650df1 650i1 |
Quadratic twists by: 5 -11 |