Atkin-Lehner |
2- 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350ba |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-16340187500 = -1 · 22 · 56 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1138,15531] |
[a1,a2,a3,a4,a6] |
Generators |
[5:97:1] |
Generators of the group modulo torsion |
j |
-10431681625/1045772 |
j-invariant |
L |
7.1665296545102 |
L(r)(E,1)/r! |
Ω |
1.2069231693155 |
Real period |
R |
1.4844626889616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094b1 |
Quadratic twists by: 5 |