Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120bk |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
3108710029642956800 = 220 · 52 · 179 |
Discriminant |
Eigenvalues |
2- -2 5- 2 6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11807480,-15620214572] |
[a1,a2,a3,a4,a6] |
Generators |
[-84950740:-18266534:42875] |
Generators of the group modulo torsion |
j |
1841373668746009/31443200 |
j-invariant |
L |
4.6035640671785 |
L(r)(E,1)/r! |
Ω |
0.081444299429172 |
Real period |
R |
7.0655099550306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2890i1 92480di1 115600by1 1360f1 |
Quadratic twists by: -4 8 5 17 |