Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bl |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
54804574827325440 = 211 · 38 · 5 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-304707,63752546] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:9126:1] |
Generators of the group modulo torsion |
j |
434163602/7605 |
j-invariant |
L |
8.0932640543437 |
L(r)(E,1)/r! |
Ω |
0.35415702279476 |
Real period |
R |
1.4282619627321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840u2 40560b2 9360m2 |
Quadratic twists by: -4 -3 13 |