Atkin-Lehner |
2+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
102080q |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-12351680 = -1 · 26 · 5 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3 5- 4 11+ 1 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-532,-4726] |
[a1,a2,a3,a4,a6] |
Generators |
[37468424590008674715:42445121480013920633:1376822032923580641] |
Generators of the group modulo torsion |
j |
-260182831104/192995 |
j-invariant |
L |
15.679088766736 |
L(r)(E,1)/r! |
Ω |
0.49701824475946 |
Real period |
R |
31.546304249503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102080bz1 1595b1 |
Quadratic twists by: -4 8 |