Atkin-Lehner |
2+ 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70448f |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-970605491968 = -1 · 28 · 7 · 172 · 374 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1151,49726] |
[a1,a2,a3,a4,a6] |
Generators |
[290:-1887:8] |
Generators of the group modulo torsion |
j |
-658733450832/3791427703 |
j-invariant |
L |
4.2711401829425 |
L(r)(E,1)/r! |
Ω |
0.76073359730227 |
Real period |
R |
1.4036254603802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35224c1 |
Quadratic twists by: -4 |