Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23030f |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
176944096000 = 28 · 53 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-282853,-58019443] |
[a1,a2,a3,a4,a6] |
Generators |
[-224118:113059:729] |
Generators of the group modulo torsion |
j |
21272583599722441/1504000 |
j-invariant |
L |
2.2262501885382 |
L(r)(E,1)/r! |
Ω |
0.20701850085172 |
Real period |
R |
5.3769353448578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150bu1 470b1 |
Quadratic twists by: 5 -7 |