Atkin-Lehner |
2- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
40670ba |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
10167500000 = 25 · 57 · 72 · 83 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -1 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-610,-3228] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:58:1] [-8:38:1] |
Generators of the group modulo torsion |
j |
512343975409/207500000 |
j-invariant |
L |
9.8879995954495 |
L(r)(E,1)/r! |
Ω |
0.9951350268866 |
Real period |
R |
0.28389541772995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40670l1 |
Quadratic twists by: -7 |