Atkin-Lehner |
2+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72896i |
Isogeny class |
Conductor |
72896 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-83770916864 = -1 · 214 · 17 · 673 |
Discriminant |
Eigenvalues |
2+ -1 2 4 -3 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1157,-20195] |
[a1,a2,a3,a4,a6] |
Generators |
[30060:16415:729] |
Generators of the group modulo torsion |
j |
-10463552512/5112971 |
j-invariant |
L |
6.8616290738778 |
L(r)(E,1)/r! |
Ω |
0.39995773175471 |
Real period |
R |
5.7186285189628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72896p1 9112c1 |
Quadratic twists by: -4 8 |