Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
61936k |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
272880986226688 = 222 · 77 · 79 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17395,-384846] |
[a1,a2,a3,a4,a6] |
Generators |
[-2870:6174:125] |
Generators of the group modulo torsion |
j |
1207949625/566272 |
j-invariant |
L |
5.3150428931642 |
L(r)(E,1)/r! |
Ω |
0.43506116007773 |
Real period |
R |
6.1083858786837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7742d1 8848b1 |
Quadratic twists by: -4 -7 |