Atkin-Lehner |
2- 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498bs |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-9786765720617046 = -1 · 2 · 37 · 710 · 892 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -1 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5802467,5381264697] |
[a1,a2,a3,a4,a6] |
j |
-104918905417081/47526 |
j-invariant |
L |
1.3323595248654 |
L(r)(E,1)/r! |
Ω |
0.33308987622832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166c1 78498bo1 |
Quadratic twists by: -3 -7 |