Atkin-Lehner |
2- 3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480bn |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-172665859092480 = -1 · 212 · 33 · 5 · 135 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 5 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-323445,70913277] |
[a1,a2,a3,a4,a6] |
Generators |
[292:1131:1] |
Generators of the group modulo torsion |
j |
-913621755765293056/42154750755 |
j-invariant |
L |
6.1966173291522 |
L(r)(E,1)/r! |
Ω |
0.53819469678238 |
Real period |
R |
1.1513709379608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5655f1 |
Quadratic twists by: -4 |