Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450t |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
82137710592000 = 220 · 32 · 53 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63570,-6180300] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:195:1] |
Generators of the group modulo torsion |
j |
227290355535323933/657101684736 |
j-invariant |
L |
3.6701841425445 |
L(r)(E,1)/r! |
Ω |
0.30071914909326 |
Real period |
R |
1.525586312682 |
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 |
91350fv1 30450cy1 |
Quadratic twists by: -3 5 |