Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350b |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-67078092064375000 = -1 · 23 · 57 · 77 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 -2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46817,13068341] |
[a1,a2,a3,a4,a6] |
Generators |
[409:7683:1] |
Generators of the group modulo torsion |
j |
-5573207889/32941720 |
j-invariant |
L |
2.8237204098497 |
L(r)(E,1)/r! |
Ω |
0.30036262189596 |
Real period |
R |
4.7005189507916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270p1 126350ch1 |
Quadratic twists by: 5 -19 |