Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720bd |
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 |
[259167204:19306296415:46656] |
Generators of the group modulo torsion |
j |
105992740376656/18785 |
j-invariant |
L |
10.921925560437 |
L(r)(E,1)/r! |
Ω |
0.37952046282709 |
Real period |
R |
14.389112880695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720g1 17680e1 |
Quadratic twists by: -4 8 |