Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bh |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
81155386916352 = 29 · 38 · 72 · 793 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18500,-861465] |
[a1,a2,a3,a4,a6] |
Generators |
[185:1329:1] |
Generators of the group modulo torsion |
j |
19601679351625/2271923712 |
j-invariant |
L |
10.611386565687 |
L(r)(E,1)/r! |
Ω |
0.41245675646327 |
Real period |
R |
0.47643093618201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23226e2 69678x2 |
Quadratic twists by: -3 -7 |