Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8436c |
Isogeny class |
Conductor |
8436 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-17293361328 = -1 · 24 · 37 · 192 · 372 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,495,-4536] |
[a1,a2,a3,a4,a6] |
Generators |
[27:171:1] |
Generators of the group modulo torsion |
j |
836645863424/1080835083 |
j-invariant |
L |
3.3136463471042 |
L(r)(E,1)/r! |
Ω |
0.65779969746149 |
Real period |
R |
0.23987953142024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33744i1 25308g1 |
Quadratic twists by: -4 -3 |