Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
95200z |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
204085000000 = 26 · 57 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2425,-40500] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:12:1] |
Generators of the group modulo torsion |
j |
1577098944/204085 |
j-invariant |
L |
5.0098189036834 |
L(r)(E,1)/r! |
Ω |
0.6861353180893 |
Real period |
R |
3.6507513579349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95200i1 19040e1 |
Quadratic twists by: -4 5 |