Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200z |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4324500000000 = 28 · 32 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4708,-75412] |
[a1,a2,a3,a4,a6] |
Generators |
[262:4092:1] |
Generators of the group modulo torsion |
j |
23086352/8649 |
j-invariant |
L |
7.823892843833 |
L(r)(E,1)/r! |
Ω |
0.59465714683174 |
Real period |
R |
3.2892452758354 |
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 |
18600f2 111600bw2 37200j2 |
Quadratic twists by: -4 -3 5 |