Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
12120m |
Isogeny class |
Conductor |
12120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-6361545600000 = -1 · 210 · 39 · 55 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 3 -4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8920,-343268] |
[a1,a2,a3,a4,a6] |
j |
-76659680596324/6212446875 |
j-invariant |
L |
2.4449121564942 |
L(r)(E,1)/r! |
Ω |
0.24449121564942 |
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 |
24240q1 96960bd1 36360d1 60600o1 |
Quadratic twists by: -4 8 -3 5 |