Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29406h |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-142085034344448 = -1 · 230 · 33 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -5 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4624,-560194] |
[a1,a2,a3,a4,a6] |
Generators |
[9045:44567:125] |
Generators of the group modulo torsion |
j |
64718059859375/840739848192 |
j-invariant |
L |
3.7815425843835 |
L(r)(E,1)/r! |
Ω |
0.28497750787143 |
Real period |
R |
2.2116029510708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218bu1 29406z1 |
Quadratic twists by: -3 13 |