Atkin-Lehner |
2- 3+ 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210w |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
-61581022986240 = -1 · 224 · 36 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -1 -1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2245,376265] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:454:1] |
Generators of the group modulo torsion |
j |
1251297732246479/61581022986240 |
j-invariant |
L |
8.044209240797 |
L(r)(E,1)/r! |
Ω |
0.47302951525669 |
Real period |
R |
0.35428591052222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90630k1 |
Quadratic twists by: -3 |