Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050i |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
2284200 = 23 · 35 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -4 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51,-122] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
570420625/91368 |
j-invariant |
L |
3.6426496239013 |
L(r)(E,1)/r! |
Ω |
1.8101228661067 |
Real period |
R |
0.40247540010763 |
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 |
56400bf1 21150bx1 7050y1 |
Quadratic twists by: -4 -3 5 |