Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635n |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
7738134525 = 36 · 52 · 114 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 11- 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3791,88490] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:412:1] |
Generators of the group modulo torsion |
j |
411650719744/528525 |
j-invariant |
L |
5.122044173497 |
L(r)(E,1)/r! |
Ω |
1.3136009031646 |
Real period |
R |
0.9748098073688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52635p1 |
Quadratic twists by: -11 |