Atkin-Lehner |
3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6105b |
Isogeny class |
Conductor |
6105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
38654570625 = 3 · 54 · 11 · 374 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-886,3314] |
[a1,a2,a3,a4,a6] |
j |
76922876001889/38654570625 |
j-invariant |
L |
0.50949445978506 |
L(r)(E,1)/r! |
Ω |
1.0189889195701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97680co1 18315q1 30525t1 67155a1 |
Quadratic twists by: -4 -3 5 -11 |