Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850bf |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-994134050 = -1 · 2 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -3 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1087,-13609] |
[a1,a2,a3,a4,a6] |
Generators |
[5115:66557:27] |
Generators of the group modulo torsion |
j |
-48317985/338 |
j-invariant |
L |
7.1598870916813 |
L(r)(E,1)/r! |
Ω |
0.41553916845652 |
Real period |
R |
4.3075885711787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31850ck1 650c1 |
Quadratic twists by: 5 -7 |