Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350bp |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
1425385937500 = 22 · 58 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4701,109548] |
[a1,a2,a3,a4,a6] |
Generators |
[27:36:1] |
Generators of the group modulo torsion |
j |
225625/28 |
j-invariant |
L |
6.9229264663735 |
L(r)(E,1)/r! |
Ω |
0.8227975381553 |
Real period |
R |
1.4023146915787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350cd1 126350dv1 |
Quadratic twists by: 5 -19 |