Atkin-Lehner |
2+ 3- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158o |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147200 |
Modular degree for the optimal curve |
Δ |
-25703959436064 = -1 · 25 · 37 · 75 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 5 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2520,-239648] |
[a1,a2,a3,a4,a6] |
j |
2427173723519/35259203616 |
j-invariant |
L |
1.3112484221118 |
L(r)(E,1)/r! |
Ω |
0.32781210619891 |
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 |
22386o1 |
Quadratic twists by: -3 |