Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800cu |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3567543750000 = -1 · 24 · 39 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1342,-88437] |
[a1,a2,a3,a4,a6] |
Generators |
[43:225:1] |
Generators of the group modulo torsion |
j |
1068359936/14270175 |
j-invariant |
L |
7.2405749261125 |
L(r)(E,1)/r! |
Ω |
0.38715964539116 |
Real period |
R |
1.0389878370598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8700b1 104400ek1 6960u1 |
Quadratic twists by: -4 -3 5 |