Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400k |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
7700000000 = 28 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-7963] |
[a1,a2,a3,a4,a6] |
j |
640000/77 |
j-invariant |
L |
3.5822870679475 |
L(r)(E,1)/r! |
Ω |
0.89557176698687 |
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 |
30800p1 123200di1 15400p1 107800bh1 |
Quadratic twists by: -4 8 5 -7 |