Atkin-Lehner |
3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725y |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
1711783125 = 36 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,-194] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:42:1] |
Generators of the group modulo torsion |
j |
6553600/3757 |
j-invariant |
L |
4.1899557411702 |
L(r)(E,1)/r! |
Ω |
1.244731012828 |
Real period |
R |
0.56102559481866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5525j1 49725e1 |
Quadratic twists by: -3 5 |