Atkin-Lehner |
2- 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992r |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-21046472331264 = -1 · 212 · 36 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3- -1 2 3 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8163,359586] |
[a1,a2,a3,a4,a6] |
Generators |
[103:782:1] |
Generators of the group modulo torsion |
j |
-20145851361/7048421 |
j-invariant |
L |
6.9309403092873 |
L(r)(E,1)/r! |
Ω |
0.64212822595595 |
Real period |
R |
2.6984253410887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4437e1 7888j1 |
Quadratic twists by: -4 -3 |