Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976w |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
570850431100701696 = 210 · 39 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 2 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-213003,10501974] |
[a1,a2,a3,a4,a6] |
Generators |
[-405:5508:1] |
Generators of the group modulo torsion |
j |
9198252/4913 |
j-invariant |
L |
5.8860510346837 |
L(r)(E,1)/r! |
Ω |
0.25465930433616 |
Real period |
R |
1.9261195037739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952b1 59976a1 59976x1 |
Quadratic twists by: -4 -3 -7 |