Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944by |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
3.9733773294222E+19 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1701363,798515890] |
[a1,a2,a3,a4,a6] |
Generators |
[455:10890:1] |
Generators of the group modulo torsion |
j |
182400988413112561/13306760282112 |
j-invariant |
L |
8.6895395430337 |
L(r)(E,1)/r! |
Ω |
0.20012727207035 |
Real period |
R |
2.1710033452143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8118d1 21648bd1 |
Quadratic twists by: -4 -3 |