Atkin-Lehner |
2+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248b |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
450560 |
Modular degree for the optimal curve |
Δ |
66856733114368 = 218 · 195 · 103 |
Discriminant |
Eigenvalues |
2+ 1 4 -1 4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33441,2309567] |
[a1,a2,a3,a4,a6] |
Generators |
[-46998:1494305:729] |
Generators of the group modulo torsion |
j |
15777367606441/255038197 |
j-invariant |
L |
12.120577179532 |
L(r)(E,1)/r! |
Ω |
0.61983561500199 |
Real period |
R |
9.777251382873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999436225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248bp1 1957a1 |
Quadratic twists by: -4 8 |