Atkin-Lehner |
2+ 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830x |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
192113370 = 2 · 36 · 5 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-630,6210] |
[a1,a2,a3,a4,a6] |
Generators |
[13:3:1] |
Generators of the group modulo torsion |
j |
37966934881/263530 |
j-invariant |
L |
2.9988797963331 |
L(r)(E,1)/r! |
Ω |
1.801315097501 |
Real period |
R |
0.83241400780635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998568374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13870g1 |
Quadratic twists by: -3 |