Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560bb |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
2500940088360000 = 26 · 312 · 54 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99813,11896612] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:4900:1] |
Generators of the group modulo torsion |
j |
20034997696/455625 |
j-invariant |
L |
3.9616940371713 |
L(r)(E,1)/r! |
Ω |
0.45693830007803 |
Real period |
R |
2.1675213239831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001304 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70560di1 23520bx1 1440g1 |
Quadratic twists by: -4 -3 -7 |