Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350bl |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-652894596112500000 = -1 · 25 · 37 · 58 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-145692,44415216] |
[a1,a2,a3,a4,a6] |
Generators |
[2382:40659:8] |
Generators of the group modulo torsion |
j |
-30025133704441/57318592800 |
j-invariant |
L |
5.0891064460276 |
L(r)(E,1)/r! |
Ω |
0.2565918785034 |
Real period |
R |
4.9583666527508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450cp1 18270bq1 |
Quadratic twists by: -3 5 |