Atkin-Lehner |
2+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29890d |
Isogeny class |
Conductor |
29890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2142515200 = 212 · 52 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -1 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5548,156752] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:557:1] [-8:452:1] |
Generators of the group modulo torsion |
j |
55075855929823/6246400 |
j-invariant |
L |
4.8141065972294 |
L(r)(E,1)/r! |
Ω |
1.4079418258724 |
Real period |
R |
0.42740638398241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29890i1 |
Quadratic twists by: -7 |