Atkin-Lehner |
2- 3- 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
125460g |
Isogeny class |
Conductor |
125460 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
762169500000000 = 28 · 37 · 59 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 1 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94863,-11167162] |
[a1,a2,a3,a4,a6] |
Generators |
[-56882:21132:343] |
Generators of the group modulo torsion |
j |
505879153536976/4083984375 |
j-invariant |
L |
7.8840642696683 |
L(r)(E,1)/r! |
Ω |
0.2721678289476 |
Real period |
R |
7.2419141435828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41820e1 |
Quadratic twists by: -3 |