Atkin-Lehner |
2- 3+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386o |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
18400 |
Modular degree for the optimal curve |
Δ |
-35259203616 = -1 · 25 · 3 · 75 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -5 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,280,8969] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:85:1] |
Generators of the group modulo torsion |
j |
2427173723519/35259203616 |
j-invariant |
L |
6.7989833866725 |
L(r)(E,1)/r! |
Ω |
0.86082604905977 |
Real period |
R |
0.78982082316149 |
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 |
67158o1 |
Quadratic twists by: -3 |