Atkin-Lehner |
2- 3+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720ch |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-62879327846400 = -1 · 226 · 3 · 52 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9080,-189200] |
[a1,a2,a3,a4,a6] |
j |
20210333452919/15351398400 |
j-invariant |
L |
1.3893787676355 |
L(r)(E,1)/r! |
Ω |
0.34734470610398 |
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 |
12090r1 |
Quadratic twists by: -4 |