Atkin-Lehner |
2- 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648n |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
12849408 |
Modular degree for the optimal curve |
Δ |
-4.0383997515132E+23 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14992128,20871069552] |
[a1,a2,a3,a4,a6] |
Generators |
[1617:222129:1] |
Generators of the group modulo torsion |
j |
4622344565280473088/5009081132623417 |
j-invariant |
L |
5.9232823737735 |
L(r)(E,1)/r! |
Ω |
0.06283030239013 |
Real period |
R |
4.2851952205875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998658647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7353c1 117648o1 |
Quadratic twists by: -4 -3 |