Atkin-Lehner |
2+ 3- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390i |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
2.372647822868E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3343590,-212554044] |
[a1,a2,a3,a4,a6] |
Generators |
[-1368:43110:1] |
Generators of the group modulo torsion |
j |
5670682212208231340641/3254660936718750000 |
j-invariant |
L |
2.8963166008265 |
L(r)(E,1)/r! |
Ω |
0.12123538032598 |
Real period |
R |
5.9725069359449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26130be1 |
Quadratic twists by: -3 |