Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bq |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
149884826000000000 = 210 · 59 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-686408,218322812] |
[a1,a2,a3,a4,a6] |
Generators |
[-938:6000:1] |
Generators of the group modulo torsion |
j |
19000416964/79625 |
j-invariant |
L |
8.900603834229 |
L(r)(E,1)/r! |
Ω |
0.32687916921405 |
Real period |
R |
3.4036291712211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480d1 18200w1 |
Quadratic twists by: 5 -7 |