Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610h |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
863427600 = 24 · 38 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-495,-3875] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:10:1] |
Generators of the group modulo torsion |
j |
18420660721/1184400 |
j-invariant |
L |
3.7742709772551 |
L(r)(E,1)/r! |
Ω |
1.0161440250341 |
Real period |
R |
1.8571535551412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870q1 |
Quadratic twists by: -3 |