Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800w |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-2800 = -1 · 24 · 52 · 7 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2,3] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] |
Generators of the group modulo torsion |
j |
1280/7 |
j-invariant |
L |
2.3955610734151 |
L(r)(E,1)/r! |
Ω |
3.2693754236063 |
Real period |
R |
0.73272743659787 |
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 |
700b1 11200cp1 25200eo1 2800ba1 |
Quadratic twists by: -4 8 -3 5 |