Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976l |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11193145707856896 = 210 · 38 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67179,-4359530] |
[a1,a2,a3,a4,a6] |
Generators |
[-24031:19440:343] |
Generators of the group modulo torsion |
j |
381775972/127449 |
j-invariant |
L |
8.0857224147488 |
L(r)(E,1)/r! |
Ω |
0.3045081106386 |
Real period |
R |
6.6383473314408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119952x2 19992ba2 8568g2 |
Quadratic twists by: -4 -3 -7 |