Atkin-Lehner |
2- 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450bm |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-602250000000 = -1 · 27 · 3 · 59 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ 3 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4588,-127219] |
[a1,a2,a3,a4,a6] |
Generators |
[105:697:1] |
Generators of the group modulo torsion |
j |
-683565019129/38544000 |
j-invariant |
L |
9.4661022597415 |
L(r)(E,1)/r! |
Ω |
0.28909707931599 |
Real period |
R |
1.1694171481655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999606115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24090g1 |
Quadratic twists by: 5 |