Atkin-Lehner |
2+ 3- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630m |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-172204266713400 = -1 · 23 · 38 · 52 · 195 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 6 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2115,629725] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-925:1] |
Generators of the group modulo torsion |
j |
1434867470639/236219844600 |
j-invariant |
L |
5.7098205221617 |
L(r)(E,1)/r! |
Ω |
0.44079681587213 |
Real period |
R |
0.64767034523125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30210bb1 |
Quadratic twists by: -3 |