Atkin-Lehner |
3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40293k |
Isogeny class |
Conductor |
40293 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-42575824534023 = -1 · 310 · 117 · 37 |
Discriminant |
Eigenvalues |
1 3- -2 4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5967,-260496] |
[a1,a2,a3,a4,a6] |
j |
18191447/32967 |
j-invariant |
L |
2.6929148438056 |
L(r)(E,1)/r! |
Ω |
0.3366143554843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13431g1 3663e1 |
Quadratic twists by: -3 -11 |