Atkin-Lehner |
2- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
43610x |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-5863626160000000 = -1 · 210 · 57 · 77 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -5 -2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-145286,-21691517] |
[a1,a2,a3,a4,a6] |
j |
-2882749860542161/49840000000 |
j-invariant |
L |
4.8857127728376 |
L(r)(E,1)/r! |
Ω |
0.12214281932558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6230g1 |
Quadratic twists by: -7 |