Atkin-Lehner |
7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22477g |
Isogeny class |
Conductor |
22477 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
318864 |
Modular degree for the optimal curve |
Δ |
-2157115523103219133 = -1 · 77 · 1310 · 19 |
Discriminant |
Eigenvalues |
1 -2 -2 7- 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,99368,-69619041] |
[a1,a2,a3,a4,a6] |
j |
787111247/15647317 |
j-invariant |
L |
0.88638423187765 |
L(r)(E,1)/r! |
Ω |
0.12662631883966 |
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 |
22477c1 |
Quadratic twists by: 13 |