Atkin-Lehner |
2+ 3+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450q |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
15937161075000000 = 26 · 38 · 58 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89700,-8406000] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:501:1] |
Generators of the group modulo torsion |
j |
204337733355625/40799132352 |
j-invariant |
L |
5.6034024668712 |
L(r)(E,1)/r! |
Ω |
0.27972017820968 |
Real period |
R |
1.6693475945885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450cf1 |
Quadratic twists by: 5 |