Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11730h |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15148141119900 = 22 · 318 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6291,-45291] |
[a1,a2,a3,a4,a6] |
Generators |
[83:72:1] |
Generators of the group modulo torsion |
j |
27535126898636209/15148141119900 |
j-invariant |
L |
5.0904210227654 |
L(r)(E,1)/r! |
Ω |
0.57333416170094 |
Real period |
R |
4.4393142453463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93840ca2 35190w2 58650w2 |
Quadratic twists by: -4 -3 5 |