Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1694d |
Isogeny class |
Conductor |
1694 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-6146097836032 = -1 · 212 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-446,119444] |
[a1,a2,a3,a4,a6] |
Generators |
[223:3216:1] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
2.3730703470768 |
L(r)(E,1)/r! |
Ω |
0.61086953091947 |
Real period |
R |
1.9423708557742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13552m1 54208bd1 15246bv1 42350bt1 |
Quadratic twists by: -4 8 -3 5 |