Atkin-Lehner |
2+ 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992c |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-1686393954319104 = -1 · 28 · 313 · 173 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -5 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195276,33272732] |
[a1,a2,a3,a4,a6] |
j |
-4412684020139008/9036318771 |
j-invariant |
L |
1.8938439425757 |
L(r)(E,1)/r! |
Ω |
0.47346099267464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35496g1 23664d1 |
Quadratic twists by: -4 -3 |