Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15834t |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
625 |
Product of Tamagawa factors cp |
deg |
80000 |
Modular degree for the optimal curve |
Δ |
1407217448486304 = 25 · 35 · 75 · 135 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34370,-1663452] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:310:1] |
Generators of the group modulo torsion |
j |
4490173250235298081/1407217448486304 |
j-invariant |
L |
9.3871014219218 |
L(r)(E,1)/r! |
Ω |
0.35926142062658 |
Real period |
R |
1.0451555199609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
126672bb1 47502w1 110838bm1 |
Quadratic twists by: -4 -3 -7 |