Atkin-Lehner |
2- 3+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58512i |
Isogeny class |
Conductor |
58512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
14979072 = 212 · 3 · 23 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1224,-16080] |
[a1,a2,a3,a4,a6] |
Generators |
[18340:89760:343] |
Generators of the group modulo torsion |
j |
49552182217/3657 |
j-invariant |
L |
5.4887531453481 |
L(r)(E,1)/r! |
Ω |
0.80709853581893 |
Real period |
R |
6.800598565929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3657a1 |
Quadratic twists by: -4 |