Atkin-Lehner |
2+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21344c |
Isogeny class |
Conductor |
21344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
716544 |
Modular degree for the optimal curve |
Δ |
-3.1433851786177E+19 |
Discriminant |
Eigenvalues |
2+ -1 -3 -4 -5 5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70097,269865121] |
[a1,a2,a3,a4,a6] |
j |
-9299685341217088/7674280221234701 |
j-invariant |
L |
0.67333836287864 |
L(r)(E,1)/r! |
Ω |
0.16833459071966 |
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 |
21344d1 42688i1 |
Quadratic twists by: -4 8 |