Atkin-Lehner |
2+ 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450o |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
513940352625000000 = 26 · 310 · 59 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-262325,38422125] |
[a1,a2,a3,a4,a6] |
j |
1022151580532837/263137460544 |
j-invariant |
L |
1.0990360894478 |
L(r)(E,1)/r! |
Ω |
0.2747590223621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350fg1 30450df1 |
Quadratic twists by: -3 5 |