Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13254b |
Isogeny class |
Conductor |
13254 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
189504 |
Modular degree for the optimal curve |
Δ |
-82291806703046016 = -1 · 27 · 33 · 478 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-257395,52101902] |
[a1,a2,a3,a4,a6] |
Generators |
[64526:5751685:8] |
Generators of the group modulo torsion |
j |
-79202473/3456 |
j-invariant |
L |
3.2720894493765 |
L(r)(E,1)/r! |
Ω |
0.33888031787892 |
Real period |
R |
9.6555901205972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106032ba1 39762r1 13254a1 |
Quadratic twists by: -4 -3 -47 |