Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fq |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
383653679062500 = 22 · 32 · 57 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18213,-90969] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:822:1] |
Generators of the group modulo torsion |
j |
24137569/13860 |
j-invariant |
L |
9.5100580275554 |
L(r)(E,1)/r! |
Ω |
0.44639764756197 |
Real period |
R |
2.6630006834623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bd1 11550l1 |
Quadratic twists by: 5 -11 |