Atkin-Lehner |
2+ 3- 37- 89- |
Signs for the Atkin-Lehner involutions |
Class |
59274b |
Isogeny class |
Conductor |
59274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-31128944599296 = -1 · 28 · 36 · 374 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -2 -2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11601,553693] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-601:1] [-93:953:1] |
Generators of the group modulo torsion |
j |
-236866433945617/42700884224 |
j-invariant |
L |
5.1081395560396 |
L(r)(E,1)/r! |
Ω |
0.63381889699489 |
Real period |
R |
1.0074130757752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6586a1 |
Quadratic twists by: -3 |