Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350d |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43338240 |
Modular degree for the optimal curve |
Δ |
-1.9939344201735E+26 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 2 6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93521751,-763381735602] |
[a1,a2,a3,a4,a6] |
Generators |
[1244648061536459499810614469:146564179307782248962793265132:61006049078219710188417] |
Generators of the group modulo torsion |
j |
-17941516933339/39546534860 |
j-invariant |
L |
7.055728874815 |
L(r)(E,1)/r! |
Ω |
0.022723656613763 |
Real period |
R |
38.812684258646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270x1 126350cc1 |
Quadratic twists by: 5 -19 |