Atkin-Lehner |
11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
101761g |
Isogeny class |
Conductor |
101761 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9273600 |
Modular degree for the optimal curve |
Δ |
-9.7483873915076E+18 |
Discriminant |
Eigenvalues |
2 3 1 -4 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3765157,2816057593] |
[a1,a2,a3,a4,a6] |
j |
-5601816576/9251 |
j-invariant |
L |
8.267568510967 |
L(r)(E,1)/r! |
Ω |
0.2296546629292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9251d1 3509c1 |
Quadratic twists by: -11 29 |