Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064p |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-116019931710069504 = -1 · 28 · 34 · 138 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 5 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-962849,364341717] |
[a1,a2,a3,a4,a6] |
j |
-79891143083008/93892851 |
j-invariant |
L |
2.6495849850183 |
L(r)(E,1)/r! |
Ω |
0.33119812345251 |
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 |
5928b1 |
Quadratic twists by: 13 |