Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bb |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-47396575353600 = -1 · 28 · 36 · 52 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13887,711666] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:1116:1] |
Generators of the group modulo torsion |
j |
-1587016803024/253968275 |
j-invariant |
L |
6.6285293219219 |
L(r)(E,1)/r! |
Ω |
0.61396402197444 |
Real period |
R |
0.67476767669267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000143369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640e2 |
Quadratic twists by: -3 |