Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18200l |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
1274000000000 = 210 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26208,-1640912] |
[a1,a2,a3,a4,a6] |
j |
995432756/637 |
j-invariant |
L |
0.75047526190177 |
L(r)(E,1)/r! |
Ω |
0.37523763095089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400w1 18200y1 127400t1 |
Quadratic twists by: -4 5 -7 |