Atkin-Lehner |
2- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
40670bb |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-4005019573770250 = -1 · 2 · 53 · 72 · 836 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -3 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-84190,-9918203] |
[a1,a2,a3,a4,a6] |
Generators |
[111642:1935241:216] |
Generators of the group modulo torsion |
j |
-1346819770871379889/81735093342250 |
j-invariant |
L |
13.472826590213 |
L(r)(E,1)/r! |
Ω |
0.13964664134362 |
Real period |
R |
5.3598880640547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40670j2 |
Quadratic twists by: -7 |