Atkin-Lehner |
2+ 3- 5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
90630s |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-21142166400000000 = -1 · 213 · 38 · 58 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 4 -5 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56745,-8704179] |
[a1,a2,a3,a4,a6] |
j |
-27719365813560721/29001600000000 |
j-invariant |
L |
0.59390400271913 |
L(r)(E,1)/r! |
Ω |
0.14847597643385 |
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 |
30210bk1 |
Quadratic twists by: -3 |