Atkin-Lehner |
3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
15075o |
Isogeny class |
Conductor |
15075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-54948375 = -1 · 38 · 53 · 67 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18,351] |
[a1,a2,a3,a4,a6] |
j |
6859/603 |
j-invariant |
L |
3.0446639767475 |
L(r)(E,1)/r! |
Ω |
1.5223319883737 |
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 |
5025i1 15075m1 |
Quadratic twists by: -3 5 |