Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850g |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
25137000000000000 = 212 · 33 · 512 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-452667,117088741] |
[a1,a2,a3,a4,a6] |
j |
24315150763476243/59584000000 |
j-invariant |
L |
1.5138187797608 |
L(r)(E,1)/r! |
Ω |
0.37845469447684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850du3 11970bn1 |
Quadratic twists by: -3 5 |