Atkin-Lehner |
2- 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117576k |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
188416 |
Modular degree for the optimal curve |
Δ |
-1752657460992 = -1 · 28 · 310 · 23 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7599,262802] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:648:1] [41:-142:1] |
Generators of the group modulo torsion |
j |
-260031254992/9391383 |
j-invariant |
L |
11.727889628347 |
L(r)(E,1)/r! |
Ω |
0.83281307489717 |
Real period |
R |
1.7602824063175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192c1 |
Quadratic twists by: -3 |