Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69620b |
Isogeny class |
Conductor |
69620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100224 |
Modular degree for the optimal curve |
Δ |
3374442691280 = 24 · 5 · 596 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4641,-85220] |
[a1,a2,a3,a4,a6] |
Generators |
[100584:48734:1331] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
3.2210807820459 |
L(r)(E,1)/r! |
Ω |
0.59214218130729 |
Real period |
R |
5.4397083730281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20a2 |
Quadratic twists by: -59 |