Atkin-Lehner |
2+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21350b |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
239120000000 = 210 · 57 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2025,-26875] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:101:1] |
Generators of the group modulo torsion |
j |
58818484369/15303680 |
j-invariant |
L |
5.4227907976338 |
L(r)(E,1)/r! |
Ω |
0.72537026259653 |
Real period |
R |
3.7379467268361 |
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 |
4270g1 |
Quadratic twists by: 5 |