Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600cc |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
112403597875200 = 211 · 317 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27435,1673030] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:1602:1] |
Generators of the group modulo torsion |
j |
61184457890/3011499 |
j-invariant |
L |
5.2141144548633 |
L(r)(E,1)/r! |
Ω |
0.58517508083582 |
Real period |
R |
4.4551747208852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200bf1 10200f1 30600bf1 |
Quadratic twists by: -4 -3 5 |