Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
41552k |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
10765841317215488 = 28 · 710 · 533 |
Discriminant |
Eigenvalues |
2+ 0 4 7- -5 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55223,168070] |
[a1,a2,a3,a4,a6] |
Generators |
[765:20140:1] |
Generators of the group modulo torsion |
j |
257551056/148877 |
j-invariant |
L |
7.0619475816042 |
L(r)(E,1)/r! |
Ω |
0.34363734876431 |
Real period |
R |
3.4250970327682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20776o1 41552d1 |
Quadratic twists by: -4 -7 |