Atkin-Lehner |
2- 3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33540c |
Isogeny class |
Conductor |
33540 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-140391463680 = -1 · 28 · 33 · 5 · 133 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24341,1453719] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:1677:1] |
Generators of the group modulo torsion |
j |
-6230413026525184/548404155 |
j-invariant |
L |
6.2397206923602 |
L(r)(E,1)/r! |
Ω |
0.98826035377712 |
Real period |
R |
1.0523071625325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100620f1 |
Quadratic twists by: -3 |