Atkin-Lehner |
2- 3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830bl |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1511424 |
Modular degree for the optimal curve |
Δ |
61596349256250000 = 24 · 39 · 58 · 193 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-259148,49418047] |
[a1,a2,a3,a4,a6] |
j |
97785493745013243/3129418750000 |
j-invariant |
L |
5.5745517750797 |
L(r)(E,1)/r! |
Ω |
0.34840948925084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830i1 |
Quadratic twists by: -3 |