Atkin-Lehner |
2+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22304a |
Isogeny class |
Conductor |
22304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2368 |
Modular degree for the optimal curve |
Δ |
-356864 = -1 · 29 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -1 2 -3 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-184] |
[a1,a2,a3,a4,a6] |
j |
-38614472/697 |
j-invariant |
L |
1.7407769560498 |
L(r)(E,1)/r! |
Ω |
0.87038847802488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22304b1 44608o1 |
Quadratic twists by: -4 8 |