Atkin-Lehner |
2- 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530w |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-11394170320389120 = -1 · 210 · 311 · 5 · 112 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -5 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35798,5768421] |
[a1,a2,a3,a4,a6] |
Generators |
[263:-3939:1] [-207:2171:1] |
Generators of the group modulo torsion |
j |
-6959228578599961/15629863265280 |
j-invariant |
L |
12.437141788049 |
L(r)(E,1)/r! |
Ω |
0.35774262514542 |
Real period |
R |
0.1448567223316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15510c1 |
Quadratic twists by: -3 |