Atkin-Lehner |
2- 3- 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830cp |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77056 |
Modular degree for the optimal curve |
Δ |
22113260010 = 2 · 313 · 5 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-707,-871] |
[a1,a2,a3,a4,a6] |
Generators |
[1182:13499:8] |
Generators of the group modulo torsion |
j |
53540005609/30333690 |
j-invariant |
L |
13.747467800507 |
L(r)(E,1)/r! |
Ω |
0.99902074311175 |
Real period |
R |
3.4402358330118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999760001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41610m1 |
Quadratic twists by: -3 |