Atkin-Lehner |
2- 3+ 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210t |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-733189449600 = -1 · 27 · 34 · 52 · 19 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5081,-147481] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-2480:1] |
Generators of the group modulo torsion |
j |
-14506967529604369/733189449600 |
j-invariant |
L |
7.0502221909032 |
L(r)(E,1)/r! |
Ω |
0.28190648244936 |
Real period |
R |
0.29772716054321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90630ba1 |
Quadratic twists by: -3 |