Atkin-Lehner |
2+ 3+ 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314a |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
2597760 |
Modular degree for the optimal curve |
Δ |
1.196279805119E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 3 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10927058,12863890866] |
[a1,a2,a3,a4,a6] |
j |
144289098194038728164089129/11962798051190103545946 |
j-invariant |
L |
1.3638621208505 |
L(r)(E,1)/r! |
Ω |
0.12398746553215 |
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 |
102942bm1 |
Quadratic twists by: -3 |