Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200ba |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-18079200000000 = -1 · 211 · 36 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7208,309588] |
[a1,a2,a3,a4,a6] |
Generators |
[58:300:1] |
Generators of the group modulo torsion |
j |
-51777170/22599 |
j-invariant |
L |
8.1305837159829 |
L(r)(E,1)/r! |
Ω |
0.6457413674476 |
Real period |
R |
0.17487616486373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18600g1 111600by1 37200b1 |
Quadratic twists by: -4 -3 5 |