Atkin-Lehner |
2+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
40670g |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-109751480516608000 = -1 · 218 · 53 · 79 · 83 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18302,15959924] |
[a1,a2,a3,a4,a6] |
Generators |
[-6684:66062:27] |
Generators of the group modulo torsion |
j |
-5763259856089/932872192000 |
j-invariant |
L |
7.1082761845476 |
L(r)(E,1)/r! |
Ω |
0.27300538552897 |
Real period |
R |
2.1697606718069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5810b2 |
Quadratic twists by: -7 |