Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29624a |
Isogeny class |
Conductor |
29624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
194304 |
Modular degree for the optimal curve |
Δ |
-192537267875513344 = -1 · 210 · 74 · 238 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 0 -1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,133837,-9514594] |
[a1,a2,a3,a4,a6] |
Generators |
[71:588:1] [3703:226412:1] |
Generators of the group modulo torsion |
j |
3306204/2401 |
j-invariant |
L |
7.5560299783466 |
L(r)(E,1)/r! |
Ω |
0.1789308104643 |
Real period |
R |
3.5190650689419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59248j1 29624g1 |
Quadratic twists by: -4 -23 |