Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31080u |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-1353961163520 = -1 · 28 · 35 · 5 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -5 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-357201,82289925] |
[a1,a2,a3,a4,a6] |
Generators |
[356:343:1] |
Generators of the group modulo torsion |
j |
-19688968346658509824/5288910795 |
j-invariant |
L |
2.9071360837652 |
L(r)(E,1)/r! |
Ω |
0.68494849974252 |
Real period |
R |
1.0610783456194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62160y1 93240u1 |
Quadratic twists by: -4 -3 |