Atkin-Lehner |
2- 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170u |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
22761421200 = 24 · 39 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1082,11881] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:149:1] |
Generators of the group modulo torsion |
j |
7111117467/1156400 |
j-invariant |
L |
8.8751396836234 |
L(r)(E,1)/r! |
Ω |
1.1504108813168 |
Real period |
R |
0.96434454721346 |
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 |
37170d1 |
Quadratic twists by: -3 |