Atkin-Lehner |
3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525bp |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27136 |
Modular degree for the optimal curve |
Δ |
42737625 = 36 · 53 · 7 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-425,-3248] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:55:8] [38:166:1] |
Generators of the group modulo torsion |
j |
92959677/469 |
j-invariant |
L |
7.7463098072151 |
L(r)(E,1)/r! |
Ω |
1.0519959625865 |
Real period |
R |
7.3634406244637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11725f1 105525bl1 |
Quadratic twists by: -3 5 |