Atkin-Lehner |
2- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680bn |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-2541447350000 = -1 · 24 · 55 · 132 · 673 |
Discriminant |
Eigenvalues |
2- -3 5- 3 6 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-937,77491] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-335:1] |
Generators of the group modulo torsion |
j |
-5686204859136/158840459375 |
j-invariant |
L |
5.1582036231936 |
L(r)(E,1)/r! |
Ω |
0.67945088903399 |
Real period |
R |
0.25305746671641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420m1 |
Quadratic twists by: -4 |