Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498bh |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-15279086214 = -1 · 2 · 39 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -1 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,484,-4427] |
[a1,a2,a3,a4,a6] |
Generators |
[1406:18031:8] |
Generators of the group modulo torsion |
j |
13026069/15842 |
j-invariant |
L |
13.263010259518 |
L(r)(E,1)/r! |
Ω |
0.6672477872609 |
Real period |
R |
4.9692972057583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498j1 78498bd1 |
Quadratic twists by: -3 -7 |