Atkin-Lehner |
2- 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420z |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-12083736884914800 = -1 · 24 · 315 · 52 · 7 · 673 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90597,11753089] |
[a1,a2,a3,a4,a6] |
j |
-7050463224473344/1035985672575 |
j-invariant |
L |
4.6532371199095 |
L(r)(E,1)/r! |
Ω |
0.3877697616405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28140n1 |
Quadratic twists by: -3 |