Atkin-Lehner |
2- 3- 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210bk |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-29001600000000 = -1 · 213 · 32 · 58 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 -5 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6305,322377] |
[a1,a2,a3,a4,a6] |
Generators |
[94:-797:1] |
Generators of the group modulo torsion |
j |
-27719365813560721/29001600000000 |
j-invariant |
L |
10.824189227531 |
L(r)(E,1)/r! |
Ω |
0.60310532382854 |
Real period |
R |
0.086285710356296 |
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 |
90630s1 |
Quadratic twists by: -3 |