Atkin-Lehner |
3- 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
125097i |
Isogeny class |
Conductor |
125097 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
601920 |
Modular degree for the optimal curve |
Δ |
-1793210213760021 = -1 · 319 · 72 · 23 · 372 |
Discriminant |
Eigenvalues |
-1 3- 1 7- 2 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17095,-2213002] |
[a1,a2,a3,a4,a6] |
Generators |
[173:35:1] [209:1727:1] |
Generators of the group modulo torsion |
j |
-11275518848779969/36596126811429 |
j-invariant |
L |
9.9348914697562 |
L(r)(E,1)/r! |
Ω |
0.19231310339886 |
Real period |
R |
1.3594732110261 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125097a1 |
Quadratic twists by: -7 |