Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350s |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
56067101562500 = 22 · 59 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9688,-74219] |
[a1,a2,a3,a4,a6] |
Generators |
[8500:59843:64] |
Generators of the group modulo torsion |
j |
6435893935801/3588294500 |
j-invariant |
L |
10.617699574879 |
L(r)(E,1)/r! |
Ω |
0.51644088679083 |
Real period |
R |
5.1398426453306 |
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 |
4270d1 |
Quadratic twists by: 5 |