Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880bq |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-65488232550400000 = -1 · 215 · 55 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,99615,2302783] |
[a1,a2,a3,a4,a6] |
Generators |
[186:5225:1] |
Generators of the group modulo torsion |
j |
3336135144699448/1998542253125 |
j-invariant |
L |
4.3241211703802 |
L(r)(E,1)/r! |
Ω |
0.21332537217679 |
Real period |
R |
0.67566914760021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bh2 33440d2 |
Quadratic twists by: -4 8 |