Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200bi |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-914227200 = -1 · 217 · 32 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -5 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10128,395712] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-32:1] [21:438:1] |
Generators of the group modulo torsion |
j |
-1122115892665/8928 |
j-invariant |
L |
7.4333132621752 |
L(r)(E,1)/r! |
Ω |
1.4125291260487 |
Real period |
R |
0.65780176892428 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4650bk1 111600ds1 37200dn1 |
Quadratic twists by: -4 -3 5 |