Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cj |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-7141500000000000 = -1 · 211 · 33 · 512 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21838,-4260469] |
[a1,a2,a3,a4,a6] |
Generators |
[865:24567:1] |
Generators of the group modulo torsion |
j |
-139343861641/864000000 |
j-invariant |
L |
8.4757568961579 |
L(r)(E,1)/r! |
Ω |
0.17536226633587 |
Real period |
R |
1.0984737054497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870k1 79350ch1 |
Quadratic twists by: 5 -23 |