Atkin-Lehner |
2+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
40670h |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
4482810080 = 25 · 5 · 72 · 833 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -3 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-417,-811] |
[a1,a2,a3,a4,a6] |
Generators |
[449:9293:1] |
Generators of the group modulo torsion |
j |
164271447529/91485920 |
j-invariant |
L |
6.9456272265766 |
L(r)(E,1)/r! |
Ω |
1.1331133216402 |
Real period |
R |
6.1296845548743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40670a1 |
Quadratic twists by: -7 |