Atkin-Lehner |
3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37479f |
Isogeny class |
Conductor |
37479 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13680 |
Modular degree for the optimal curve |
Δ |
-108051957 = -1 · 32 · 13 · 314 |
Discriminant |
Eigenvalues |
1 3- 0 -3 -5 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-501,4297] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:99:1] |
Generators of the group modulo torsion |
j |
-15015625/117 |
j-invariant |
L |
6.3640824514642 |
L(r)(E,1)/r! |
Ω |
1.8896092932214 |
Real period |
R |
0.56132260376896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112437j1 37479b1 |
Quadratic twists by: -3 -31 |