Atkin-Lehner |
7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
23177c |
Isogeny class |
Conductor |
23177 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-9028272140503 = -1 · 79 · 112 · 432 |
Discriminant |
Eigenvalues |
1 -2 0 7- 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7376,282825] |
[a1,a2,a3,a4,a6] |
Generators |
[270:2017:8] |
Generators of the group modulo torsion |
j |
-377149515625/76739047 |
j-invariant |
L |
3.5648245316981 |
L(r)(E,1)/r! |
Ω |
0.70032563725353 |
Real period |
R |
2.5451192574345 |
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 |
3311c1 |
Quadratic twists by: -7 |