Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bk |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-381364275937500 = -1 · 22 · 311 · 57 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6755,965247] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:8365:8] |
Generators of the group modulo torsion |
j |
-2992209121/33480540 |
j-invariant |
L |
8.1633817637847 |
L(r)(E,1)/r! |
Ω |
0.45529872992521 |
Real period |
R |
2.2412158290905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450b1 7470g1 |
Quadratic twists by: -3 5 |