Atkin-Lehner |
3+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
79497b |
Isogeny class |
Conductor |
79497 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
38409214041 = 33 · 117 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 2 -4 11- -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6194,188928] |
[a1,a2,a3,a4,a6] |
Generators |
[382:-45:8] |
Generators of the group modulo torsion |
j |
549353259/803 |
j-invariant |
L |
4.4463619387326 |
L(r)(E,1)/r! |
Ω |
1.1508056487098 |
Real period |
R |
3.8636949222131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79497a1 7227b1 |
Quadratic twists by: -3 -11 |