Atkin-Lehner |
2+ 3- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38106c |
Isogeny class |
Conductor |
38106 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
105120 |
Modular degree for the optimal curve |
Δ |
-6063832777536 = -1 · 26 · 36 · 293 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 3 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12141,-525339] |
[a1,a2,a3,a4,a6] |
Generators |
[130:219:1] |
Generators of the group modulo torsion |
j |
-271506156685777/8318014784 |
j-invariant |
L |
3.8378557968652 |
L(r)(E,1)/r! |
Ω |
0.22699745891357 |
Real period |
R |
4.2267607479321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4234b1 |
Quadratic twists by: -3 |