Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1694i |
Isogeny class |
Conductor |
1694 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-24008194672 = -1 · 24 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1757,28579] |
[a1,a2,a3,a4,a6] |
j |
-338608873/13552 |
j-invariant |
L |
4.7561194926712 |
L(r)(E,1)/r! |
Ω |
1.1890298731678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13552r1 54208bo1 15246s1 42350o1 |
Quadratic twists by: -4 8 -3 5 |