Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350v |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2592000 |
Modular degree for the optimal curve |
Δ |
384596539324748800 = 210 · 52 · 75 · 197 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2726641,-1732935932] |
[a1,a2,a3,a4,a6] |
Generators |
[-949:922:1] |
Generators of the group modulo torsion |
j |
1906100306841145/326996992 |
j-invariant |
L |
5.0753848857673 |
L(r)(E,1)/r! |
Ω |
0.11748895859716 |
Real period |
R |
2.1599411937187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350dg2 6650y1 |
Quadratic twists by: 5 -19 |