Atkin-Lehner |
2- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
80344f |
Isogeny class |
Conductor |
80344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-1656253637632 = -1 · 210 · 117 · 83 |
Discriminant |
Eigenvalues |
2- 2 4 -3 11- -7 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6816,-223012] |
[a1,a2,a3,a4,a6] |
Generators |
[83198530:121011132:857375] |
Generators of the group modulo torsion |
j |
-19307236/913 |
j-invariant |
L |
11.156000579007 |
L(r)(E,1)/r! |
Ω |
0.26199014060901 |
Real period |
R |
10.645439323372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7304a1 |
Quadratic twists by: -11 |