Atkin-Lehner |
2- 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270w |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
39600 |
Modular degree for the optimal curve |
Δ |
-578833080 = -1 · 23 · 3 · 5 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1030,12347] |
[a1,a2,a3,a4,a6] |
j |
-1027243729/4920 |
j-invariant |
L |
4.9287236313443 |
L(r)(E,1)/r! |
Ω |
1.6429078780635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1230j1 |
Quadratic twists by: -7 |