Atkin-Lehner |
2- 3- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434bn |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-3015072930594816 = -1 · 224 · 38 · 72 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33934,1082481] |
[a1,a2,a3,a4,a6] |
Generators |
[113:2463:1] |
Generators of the group modulo torsion |
j |
5928070345922087/4135902511104 |
j-invariant |
L |
8.2001999820938 |
L(r)(E,1)/r! |
Ω |
0.28494471359241 |
Real period |
R |
1.19909225533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23478g1 |
Quadratic twists by: -3 |