Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10912c |
Isogeny class |
Conductor |
10912 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-21125632 = -1 · 29 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ -2 4 5 11- 0 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-228] |
[a1,a2,a3,a4,a6] |
Generators |
[23:110:1] |
Generators of the group modulo torsion |
j |
-941192/41261 |
j-invariant |
L |
4.8449317480847 |
L(r)(E,1)/r! |
Ω |
0.94234159364244 |
Real period |
R |
1.7137917505256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10912d1 21824f1 98208x1 120032j1 |
Quadratic twists by: -4 8 -3 -11 |