Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498bm |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
2585268083043072 = 28 · 39 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97691,11519435] |
[a1,a2,a3,a4,a6] |
Generators |
[135:814:1] |
Generators of the group modulo torsion |
j |
24534169513/615168 |
j-invariant |
L |
9.6596354931795 |
L(r)(E,1)/r! |
Ω |
0.45518646614829 |
Real period |
R |
0.4421098188766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166k1 78498cd1 |
Quadratic twists by: -3 -7 |