Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610k |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
15561958995040320 = 26 · 33 · 5 · 239 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2015589,-1100895147] |
[a1,a2,a3,a4,a6] |
Generators |
[-374885960067921:138639049949705:456710893101] |
Generators of the group modulo torsion |
j |
226568219476347/3893440 |
j-invariant |
L |
5.7328425561408 |
L(r)(E,1)/r! |
Ω |
0.1267066758888 |
Real period |
R |
22.622496075697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47610bh3 2070a1 |
Quadratic twists by: -3 -23 |