Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
77658t |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
398320742310952356 = 22 · 38 · 74 · 436 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-192335,-11506354] |
[a1,a2,a3,a4,a6] |
j |
124475734657/63011844 |
j-invariant |
L |
3.8478116397504 |
L(r)(E,1)/r! |
Ω |
0.24048822804384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42a3 |
Quadratic twists by: -43 |