Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3045h |
Isogeny class |
Conductor |
3045 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
58800 |
Modular degree for the optimal curve |
Δ |
-1399642790416171875 = -1 · 37 · 57 · 710 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -1 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-198136,66208195] |
[a1,a2,a3,a4,a6] |
Generators |
[1210:50417:8] |
Generators of the group modulo torsion |
j |
-860232957686415069184/1399642790416171875 |
j-invariant |
L |
6.5784627799084 |
L(r)(E,1)/r! |
Ω |
0.24201441318049 |
Real period |
R |
1.9415793976471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48720bk1 9135h1 15225f1 21315l1 |
Quadratic twists by: -4 -3 5 -7 |