Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650f |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
95800320 |
Modular degree for the optimal curve |
Δ |
3.3626754721324E+27 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 11- 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4759330876,126345488619898] |
[a1,a2,a3,a4,a6] |
j |
3559589366328163617361/1003976272000000 |
j-invariant |
L |
0.52354170691848 |
L(r)(E,1)/r! |
Ω |
0.043628477121674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730bc1 78650ch1 |
Quadratic twists by: 5 -11 |