Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475cu |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-98398125 = -1 · 33 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-288,1917] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:54:1] |
Generators of the group modulo torsion |
j |
-12325975/459 |
j-invariant |
L |
4.9663415474839 |
L(r)(E,1)/r! |
Ω |
1.8818672105318 |
Real period |
R |
0.14661388551058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475g1 62475bj1 |
Quadratic twists by: 5 -7 |