Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150p |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-8718953906250 = -1 · 2 · 313 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6867,262791] |
[a1,a2,a3,a4,a6] |
Generators |
[219:2928:1] |
Generators of the group modulo torsion |
j |
-125768785/30618 |
j-invariant |
L |
2.4636237981095 |
L(r)(E,1)/r! |
Ω |
0.69873874706227 |
Real period |
R |
0.29381794560406 |
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 |
25200fm1 100800gk1 1050q1 3150bj1 |
Quadratic twists by: -4 8 -3 5 |