Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850by |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
2182388950 = 2 · 52 · 77 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64828,-6358598] |
[a1,a2,a3,a4,a6] |
Generators |
[-20231289009416502:10188695029566527:137563899893848] |
Generators of the group modulo torsion |
j |
10244334540505/742 |
j-invariant |
L |
12.803122118592 |
L(r)(E,1)/r! |
Ω |
0.29919812377793 |
Real period |
R |
21.395725943948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850bf1 18550j1 |
Quadratic twists by: 5 -7 |