Atkin-Lehner |
2- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
40670u |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9312 |
Modular degree for the optimal curve |
Δ |
1992830 = 2 · 5 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -3 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,97] |
[a1,a2,a3,a4,a6] |
Generators |
[358:2217:8] |
Generators of the group modulo torsion |
j |
5764801/830 |
j-invariant |
L |
13.157404759278 |
L(r)(E,1)/r! |
Ω |
2.5174550181498 |
Real period |
R |
5.2264706477052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40670r1 |
Quadratic twists by: -7 |