Atkin-Lehner |
2- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040cn |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
4280738000 = 24 · 53 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-737045,243796400] |
[a1,a2,a3,a4,a6] |
Generators |
[2080:87780:1] |
Generators of the group modulo torsion |
j |
2767491729985147764736/267546125 |
j-invariant |
L |
12.818823212895 |
L(r)(E,1)/r! |
Ω |
0.77713340052954 |
Real period |
R |
2.7491683278127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29260i1 |
Quadratic twists by: -4 |