Atkin-Lehner |
2+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
59360d |
Isogeny class |
Conductor |
59360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-265932800 = -1 · 212 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -4 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,785] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:20:1] [1:-28:1] |
Generators of the group modulo torsion |
j |
-64/64925 |
j-invariant |
L |
7.873349265477 |
L(r)(E,1)/r! |
Ω |
1.3873376739733 |
Real period |
R |
0.35469686891952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59360b1 118720bd1 |
Quadratic twists by: -4 8 |