Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120f |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-1.2512E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -1 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-490684801,4183781564801] |
[a1,a2,a3,a4,a6] |
Generators |
[498717910581:90845454880:38958219] |
Generators of the group modulo torsion |
j |
-49841557909700385914920801/47729492187500 |
j-invariant |
L |
4.7111461786811 |
L(r)(E,1)/r! |
Ω |
0.14128498343712 |
Real period |
R |
16.672494358814 |
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 |
125120bp1 3910l1 |
Quadratic twists by: -4 8 |