Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700u |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-1257768750000 = -1 · 24 · 3 · 58 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,58188] |
[a1,a2,a3,a4,a6] |
j |
-1594753024/5031075 |
j-invariant |
L |
4.5403457443229 |
L(r)(E,1)/r! |
Ω |
0.75672428962377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540d1 |
Quadratic twists by: 5 |