Atkin-Lehner |
2- 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300l |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-508141764000000 = -1 · 28 · 32 · 56 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30108,2294712] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:1950:1] [222:-2550:1] |
Generators of the group modulo torsion |
j |
-754612278352/127035441 |
j-invariant |
L |
8.4095228008424 |
L(r)(E,1)/r! |
Ω |
0.50315641321678 |
Real period |
R |
0.34819866562927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652d2 |
Quadratic twists by: 5 |