Atkin-Lehner |
2+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720g |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
307773440 = 214 · 5 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25041,1516879] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:1088:1] [90:17:1] |
Generators of the group modulo torsion |
j |
105992740376656/18785 |
j-invariant |
L |
5.7264449781048 |
L(r)(E,1)/r! |
Ω |
1.3562535175962 |
Real period |
R |
2.1111263136921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720bd1 8840e1 |
Quadratic twists by: -4 8 |