Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200cw |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-720750000 = -1 · 24 · 3 · 56 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,-1962] |
[a1,a2,a3,a4,a6] |
Generators |
[333052992:11875157175:262144] |
Generators of the group modulo torsion |
j |
-5619712/2883 |
j-invariant |
L |
8.2669731752862 |
L(r)(E,1)/r! |
Ω |
0.59633037149931 |
Real period |
R |
13.863075855923 |
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 |
9300f1 111600ef1 1488i1 |
Quadratic twists by: -4 -3 5 |