Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
107484h |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-206883366513408 = -1 · 28 · 35 · 137 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -5 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13971,-269073] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-1014:1] |
Generators of the group modulo torsion |
j |
244047872/167427 |
j-invariant |
L |
6.5897739641551 |
L(r)(E,1)/r! |
Ω |
0.31883259381225 |
Real period |
R |
0.68894816915467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8268d1 |
Quadratic twists by: 13 |