Atkin-Lehner |
2+ 3- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194m |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
116928 |
Modular degree for the optimal curve |
Δ |
-142300527732324 = -1 · 22 · 33 · 132 · 177 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 0 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6421,539210] |
[a1,a2,a3,a4,a6] |
Generators |
[930:95276:125] [-43:450:1] |
Generators of the group modulo torsion |
j |
29283902069890391/142300527732324 |
j-invariant |
L |
6.0427750554758 |
L(r)(E,1)/r! |
Ω |
0.41733957564593 |
Real period |
R |
0.17237233772555 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75582y1 |
Quadratic twists by: -3 |