Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13542k |
Isogeny class |
Conductor |
13542 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
49504 |
Modular degree for the optimal curve |
Δ |
-28096205781888 = -1 · 27 · 313 · 37 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 3 -3 -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35119,2543033] |
[a1,a2,a3,a4,a6] |
Generators |
[482:-10123:1] |
Generators of the group modulo torsion |
j |
-4790169797442762097/28096205781888 |
j-invariant |
L |
8.0197978382362 |
L(r)(E,1)/r! |
Ω |
0.66864763632394 |
Real period |
R |
0.065901411884546 |
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 |
108336n1 40626d1 |
Quadratic twists by: -4 -3 |