Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85848m |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13872942507303936 = 210 · 32 · 710 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67832,-3735780] |
[a1,a2,a3,a4,a6] |
Generators |
[2157062:35059760:4913] |
Generators of the group modulo torsion |
j |
286513958308/115154361 |
j-invariant |
L |
6.7261719598659 |
L(r)(E,1)/r! |
Ω |
0.30631895048713 |
Real period |
R |
10.979033357834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013077 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12264g2 |
Quadratic twists by: -7 |