Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1184d |
Isogeny class |
Conductor |
1184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
151552 = 212 · 37 |
Discriminant |
Eigenvalues |
2+ -3 -4 -1 3 2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-232,1360] |
[a1,a2,a3,a4,a6] |
Generators |
[8:4:1] |
Generators of the group modulo torsion |
j |
337153536/37 |
j-invariant |
L |
1.319232229325 |
L(r)(E,1)/r! |
Ω |
3.1199664741362 |
Real period |
R |
0.21141769314849 |
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 |
1184g1 2368h1 10656r1 29600bb1 |
Quadratic twists by: -4 8 -3 5 |