Atkin-Lehner |
2- 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
8652c |
Isogeny class |
Conductor |
8652 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
2180304 = 24 · 33 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-929,11214] |
[a1,a2,a3,a4,a6] |
j |
5547767775232/136269 |
j-invariant |
L |
1.2056782701171 |
L(r)(E,1)/r! |
Ω |
2.4113565402341 |
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 |
34608t1 25956j1 60564h1 |
Quadratic twists by: -4 -3 -7 |