Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23030k |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
1213836498560000 = 210 · 54 · 79 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-213567,-38040379] |
[a1,a2,a3,a4,a6] |
Generators |
[-7035:4612:27] |
Generators of the group modulo torsion |
j |
26696047767103/30080000 |
j-invariant |
L |
6.0771047780207 |
L(r)(E,1)/r! |
Ω |
0.22209824907862 |
Real period |
R |
6.8405590805326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115150cp1 23030h1 |
Quadratic twists by: 5 -7 |