Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150f |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-604800000000 = -1 · 213 · 33 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -3 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1008,-35584] |
[a1,a2,a3,a4,a6] |
j |
10733445/57344 |
j-invariant |
L |
0.91957320939684 |
L(r)(E,1)/r! |
Ω |
0.45978660469842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25200dm1 100800bx1 3150ba1 3150x1 |
Quadratic twists by: -4 8 -3 5 |