Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bw |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
18087936 |
Modular degree for the optimal curve |
Δ |
1.7859719725056E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44448063,112212959781] |
[a1,a2,a3,a4,a6] |
Generators |
[-1205:405602:1] |
Generators of the group modulo torsion |
j |
621530156822066417408041/11430220624035840000 |
j-invariant |
L |
6.6891128509316 |
L(r)(E,1)/r! |
Ω |
0.1014524645201 |
Real period |
R |
1.0302104426252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470q1 |
Quadratic twists by: 5 |