Atkin-Lehner |
2- 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
8652d |
Isogeny class |
Conductor |
8652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1246122226944 = -1 · 28 · 39 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-364,53896] |
[a1,a2,a3,a4,a6] |
j |
-20892021712/4867664949 |
j-invariant |
L |
2.8111119289267 |
L(r)(E,1)/r! |
Ω |
0.70277798223168 |
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 |
34608v1 25956k1 60564i1 |
Quadratic twists by: -4 -3 -7 |