Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054i |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
13706731064201472 = 28 · 33 · 119 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71876,4795344] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:3429:1] |
Generators of the group modulo torsion |
j |
23180817201697/7737092352 |
j-invariant |
L |
2.5973589554582 |
L(r)(E,1)/r! |
Ω |
0.3657751113812 |
Real period |
R |
1.7752430897023 |
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 |
63162cd1 1914l1 |
Quadratic twists by: -3 -11 |