Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360bk |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-1953313876206000 = -1 · 24 · 34 · 53 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3495,-2126718] |
[a1,a2,a3,a4,a6] |
Generators |
[2074:94380:1] |
Generators of the group modulo torsion |
j |
-2508888064/1037680875 |
j-invariant |
L |
5.2865152784777 |
L(r)(E,1)/r! |
Ω |
0.20952686536053 |
Real period |
R |
4.2051213012606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999436193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680bf1 18480r1 |
Quadratic twists by: -4 -7 |