Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1184c |
Isogeny class |
Conductor |
1184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
151552 = 212 · 37 |
Discriminant |
Eigenvalues |
2+ -1 0 1 1 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,5] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
64000/37 |
j-invariant |
L |
2.2598920451543 |
L(r)(E,1)/r! |
Ω |
2.7559798782191 |
Real period |
R |
0.40999792179444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1184b1 2368m1 10656k1 29600s1 |
Quadratic twists by: -4 8 -3 5 |