Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736h |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
554508304 = 24 · 72 · 294 |
Discriminant |
Eigenvalues |
2+ -1 1 7- -3 6 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9620,-359981] |
[a1,a2,a3,a4,a6] |
j |
125596636689664/707281 |
j-invariant |
L |
0.96412238639566 |
L(r)(E,1)/r! |
Ω |
0.48206119319785 |
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 |
11368j1 90944dr1 22736a1 |
Quadratic twists by: -4 8 -7 |