Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498bn |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-191501339484672 = -1 · 29 · 36 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 3 -2 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7267,-623451] |
[a1,a2,a3,a4,a6] |
Generators |
[59:60:1] |
Generators of the group modulo torsion |
j |
10100279/45568 |
j-invariant |
L |
13.955613391815 |
L(r)(E,1)/r! |
Ω |
0.28610600496567 |
Real period |
R |
2.7098762048554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722a1 78498ci1 |
Quadratic twists by: -3 -7 |