Atkin-Lehner |
3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24795i |
Isogeny class |
Conductor |
24795 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-6525275355 = -1 · 38 · 5 · 193 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 6 -3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3153,-68256] |
[a1,a2,a3,a4,a6] |
Generators |
[71:256:1] |
Generators of the group modulo torsion |
j |
-4755192426496/8950995 |
j-invariant |
L |
3.0144864837186 |
L(r)(E,1)/r! |
Ω |
0.31852210318939 |
Real period |
R |
1.5773298271058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8265d1 123975be1 |
Quadratic twists by: -3 5 |