Atkin-Lehner |
2- 3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
33744i |
Isogeny class |
Conductor |
33744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29568 |
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 |
[602:5439:8] |
Generators of the group modulo torsion |
j |
836645863424/1080835083 |
j-invariant |
L |
3.3717197260601 |
L(r)(E,1)/r! |
Ω |
0.82796939337343 |
Real period |
R |
4.0722758027592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8436c1 101232bg1 |
Quadratic twists by: -4 -3 |