Atkin-Lehner |
2- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
108560h |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-6405040 = -1 · 24 · 5 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,-124] |
[a1,a2,a3,a4,a6] |
Generators |
[2467032:32873851:13824] |
Generators of the group modulo torsion |
j |
44957696/400315 |
j-invariant |
L |
6.8021031449792 |
L(r)(E,1)/r! |
Ω |
1.1773443041298 |
Real period |
R |
11.554993942436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27140c1 |
Quadratic twists by: -4 |