Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680de |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
201803857920000 = 218 · 33 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-428545,107834975] |
[a1,a2,a3,a4,a6] |
Generators |
[365:420:1] |
Generators of the group modulo torsion |
j |
33202753467020929/769820625 |
j-invariant |
L |
10.226765506484 |
L(r)(E,1)/r! |
Ω |
0.52207530026849 |
Real period |
R |
0.40809747845314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680eh1 1995a1 |
Quadratic twists by: -4 8 |