Atkin-Lehner |
3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
62001l |
Isogeny class |
Conductor |
62001 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
223776 |
Modular degree for the optimal curve |
Δ |
-98849620323 = -1 · 315 · 832 |
Discriminant |
Eigenvalues |
2 3- -2 3 0 3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-52041,-4569503] |
[a1,a2,a3,a4,a6] |
Generators |
[42276848624570:6798591847534181:1634691752] |
Generators of the group modulo torsion |
j |
-3103679721472/19683 |
j-invariant |
L |
13.110391228107 |
L(r)(E,1)/r! |
Ω |
0.15804580957908 |
Real period |
R |
20.738277185304 |
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 |
20667h1 62001m1 |
Quadratic twists by: -3 -83 |