Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300a |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-3687046593750000 = -1 · 24 · 35 · 59 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 13+ 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5842,2914437] |
[a1,a2,a3,a4,a6] |
j |
88184857856/14748186375 |
j-invariant |
L |
1.3660955833107 |
L(r)(E,1)/r! |
Ω |
0.34152389747488 |
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 |
13260l1 |
Quadratic twists by: 5 |