Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
92450z |
Isogeny class |
Conductor |
92450 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-1514700800000000 = -1 · 221 · 58 · 432 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 5 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20895,-1473103] |
[a1,a2,a3,a4,a6] |
Generators |
[439:9380:1] |
Generators of the group modulo torsion |
j |
34923148191/52428800 |
j-invariant |
L |
12.92925643974 |
L(r)(E,1)/r! |
Ω |
0.25251281316543 |
Real period |
R |
1.2191042311984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18490e1 92450b1 |
Quadratic twists by: 5 -43 |