Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760cd |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-2142720000000000000 = -1 · 221 · 33 · 513 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 5 6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1475265,-692783775] |
[a1,a2,a3,a4,a6] |
j |
-1354547383894636849/8173828125000 |
j-invariant |
L |
1.780199720408 |
L(r)(E,1)/r! |
Ω |
0.068469220015693 |
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 |
29760bi1 7440w1 89280eu1 |
Quadratic twists by: -4 8 -3 |