Atkin-Lehner |
2- 3+ 5+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210q |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-116006400 = -1 · 29 · 32 · 52 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -6 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-126,699] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:35:1] [-82:295:8] |
Generators of the group modulo torsion |
j |
-221335335649/116006400 |
j-invariant |
L |
9.0344681749859 |
L(r)(E,1)/r! |
Ω |
1.7385699972349 |
Real period |
R |
0.14434704941664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90630be1 |
Quadratic twists by: -3 |