Atkin-Lehner |
2- 3+ 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34782q |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
359040 |
Modular degree for the optimal curve |
Δ |
44866870050816 = 217 · 310 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 11+ -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-269649,53781423] |
[a1,a2,a3,a4,a6] |
Generators |
[283:344:1] |
Generators of the group modulo torsion |
j |
2168304418969242642577/44866870050816 |
j-invariant |
L |
9.3013896613127 |
L(r)(E,1)/r! |
Ω |
0.5899757654717 |
Real period |
R |
0.46369749431579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104346w1 |
Quadratic twists by: -3 |