Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1725h |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-294732421875 = -1 · 38 · 59 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5+ 5 -2 6 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2508,55793] |
[a1,a2,a3,a4,a6] |
j |
-111701610496/18862875 |
j-invariant |
L |
3.7448970154941 |
L(r)(E,1)/r! |
Ω |
0.93622425387352 |
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 |
27600cs1 110400em1 5175h1 345f1 |
Quadratic twists by: -4 8 -3 5 |