Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230o |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-278511750 = -1 · 2 · 33 · 53 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3029,63902] |
[a1,a2,a3,a4,a6] |
j |
-3071958955278409/278511750 |
j-invariant |
L |
1.6609572950215 |
L(r)(E,1)/r! |
Ω |
1.6609572950215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81840bj1 30690bk1 51150bp1 112530cs1 |
Quadratic twists by: -4 -3 5 -11 |