Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ea |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16000675200000000 = -1 · 213 · 36 · 58 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10008075,-12186359750] |
[a1,a2,a3,a4,a6] |
Generators |
[119940894585:11291895836600:12008989] |
Generators of the group modulo torsion |
j |
-2376117230685121/342950 |
j-invariant |
L |
5.7975514421218 |
L(r)(E,1)/r! |
Ω |
0.042440639320228 |
Real period |
R |
17.0754715733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8550bb2 7600k2 13680z2 |
Quadratic twists by: -4 -3 5 |