Atkin-Lehner |
3+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115851h |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3384864 |
Modular degree for the optimal curve |
Δ |
-81651653602102179 = -1 · 33 · 2310 · 73 |
Discriminant |
Eigenvalues |
2 3+ -1 0 -1 4 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7369146,-7697257315] |
[a1,a2,a3,a4,a6] |
j |
-1068309016576/1971 |
j-invariant |
L |
3.7110800281913 |
L(r)(E,1)/r! |
Ω |
0.045815793828276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115851g1 |
Quadratic twists by: -23 |