Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200cq |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-3002508789750000 = -1 · 24 · 318 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76358,8513163] |
[a1,a2,a3,a4,a6] |
Generators |
[247:2187:1] |
Generators of the group modulo torsion |
j |
-196948657599232/12010035159 |
j-invariant |
L |
6.4948480413642 |
L(r)(E,1)/r! |
Ω |
0.44403733583076 |
Real period |
R |
0.812600342518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9300c1 111600do1 1488j1 |
Quadratic twists by: -4 -3 5 |