Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226y |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
462336 |
Modular degree for the optimal curve |
Δ |
-9284082694483968 = -1 · 212 · 32 · 79 · 792 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 4 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-578005,169155041] |
[a1,a2,a3,a4,a6] |
Generators |
[386:1703:1] |
Generators of the group modulo torsion |
j |
-529219922424103/230068224 |
j-invariant |
L |
7.9418845277925 |
L(r)(E,1)/r! |
Ω |
0.40367267184342 |
Real period |
R |
0.81975292955438 |
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 |
69678o1 23226u1 |
Quadratic twists by: -3 -7 |