Atkin-Lehner |
2+ 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450h |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
384480 |
Modular degree for the optimal curve |
Δ |
-69709142542050 = -1 · 2 · 315 · 52 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12215,-661905] |
[a1,a2,a3,a4,a6] |
j |
-8063427205880545/2788365701682 |
j-invariant |
L |
0.22316741572408 |
L(r)(E,1)/r! |
Ω |
0.22316827387346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450ci1 |
Quadratic twists by: 5 |