Atkin-Lehner |
3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39249b |
Isogeny class |
Conductor |
39249 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-1629770044056147 = -1 · 33 · 714 · 89 |
Discriminant |
Eigenvalues |
0 3+ 2 7- -6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-294,1942323] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1102:1] |
Generators of the group modulo torsion |
j |
-884736/513067289 |
j-invariant |
L |
4.2999478349423 |
L(r)(E,1)/r! |
Ω |
0.37732192090636 |
Real period |
R |
2.8489915352745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39249a1 5607a1 |
Quadratic twists by: -3 -7 |