Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602u |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-143111672584522992 = -1 · 24 · 38 · 7 · 417 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-171497,32769479] |
[a1,a2,a3,a4,a6] |
Generators |
[3929:243046:1] |
Generators of the group modulo torsion |
j |
-117433042273/30128112 |
j-invariant |
L |
9.6706362788525 |
L(r)(E,1)/r! |
Ω |
0.31072287771815 |
Real period |
R |
7.7807565610832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1722o1 |
Quadratic twists by: 41 |