Atkin-Lehner |
2+ 3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450s |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
4526496000000000 = 214 · 33 · 59 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-373700,87714000] |
[a1,a2,a3,a4,a6] |
j |
2955049652180501/2317565952 |
j-invariant |
L |
0.86409285877746 |
L(r)(E,1)/r! |
Ω |
0.43204643020641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450db1 |
Quadratic twists by: 5 |