Atkin-Lehner |
2+ 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3774k |
Isogeny class |
Conductor |
3774 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-153191211444 = -1 · 22 · 36 · 175 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 -1 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1399,-27682] |
[a1,a2,a3,a4,a6] |
Generators |
[97:818:1] |
Generators of the group modulo torsion |
j |
-302503589987689/153191211444 |
j-invariant |
L |
2.9019363687575 |
L(r)(E,1)/r! |
Ω |
0.38121585849723 |
Real period |
R |
0.12687196785731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30192q1 120768k1 11322m1 94350bg1 |
Quadratic twists by: -4 8 -3 5 |