Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30420k |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
47573415648720 = 24 · 36 · 5 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-427908,-107738683] |
[a1,a2,a3,a4,a6] |
Generators |
[327908077498576432:-17504016950471194091:109160525017088] |
Generators of the group modulo torsion |
j |
153910165504/845 |
j-invariant |
L |
5.0605489663015 |
L(r)(E,1)/r! |
Ω |
0.18666465684321 |
Real period |
R |
27.110375643055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680dp1 3380h1 2340g1 |
Quadratic twists by: -4 -3 13 |