Atkin-Lehner |
2- 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31218m |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34320 |
Modular degree for the optimal curve |
Δ |
-14626007616 = -1 · 26 · 3 · 116 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 11- 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,300,5589] |
[a1,a2,a3,a4,a6] |
j |
1685159/8256 |
j-invariant |
L |
5.3840439054768 |
L(r)(E,1)/r! |
Ω |
0.8973406509122 |
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 |
93654u1 258a1 |
Quadratic twists by: -3 -11 |