Atkin-Lehner |
2- 3- 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
39114o |
Isogeny class |
Conductor |
39114 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
-376046767282176 = -1 · 211 · 313 · 41 · 532 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 0 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17896,-150501] |
[a1,a2,a3,a4,a6] |
Generators |
[53:945:1] [221:3705:1] |
Generators of the group modulo torsion |
j |
869534559879623/515839186944 |
j-invariant |
L |
10.226401660748 |
L(r)(E,1)/r! |
Ω |
0.31340752293346 |
Real period |
R |
0.37079234312415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13038a1 |
Quadratic twists by: -3 |