Atkin-Lehner |
2- 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488r |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-2951424 = -1 · 28 · 33 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -2 0 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,82] |
[a1,a2,a3,a4,a6] |
j |
11664/427 |
j-invariant |
L |
3.8352572959297 |
L(r)(E,1)/r! |
Ω |
1.9176286479142 |
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 |
15372a1 61488s1 |
Quadratic twists by: -4 -3 |