Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128x |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2770869248 = -1 · 210 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3 0 7- 0 -5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10780,430808] |
[a1,a2,a3,a4,a6] |
Generators |
[43533:2989:729] |
Generators of the group modulo torsion |
j |
-1149984000/23 |
j-invariant |
L |
12.286269639815 |
L(r)(E,1)/r! |
Ω |
1.3219432600744 |
Real period |
R |
4.6470487845352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72128bu1 9016k1 1472g1 |
Quadratic twists by: -4 8 -7 |