Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490bg |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
-8.4003252503588E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,403532,1390999058] |
[a1,a2,a3,a4,a6] |
Generators |
[1264:61985:1] |
Generators of the group modulo torsion |
j |
4102070196173039/474176460780000 |
j-invariant |
L |
8.0744354922656 |
L(r)(E,1)/r! |
Ω |
0.12168458067849 |
Real period |
R |
0.25134641349236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590z1 |
Quadratic twists by: -11 |