Atkin-Lehner |
2+ 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890t |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
408883855716000000 = 28 · 310 · 56 · 75 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270585,-44525075] |
[a1,a2,a3,a4,a6] |
Generators |
[-382:1919:1] [-315:3220:1] |
Generators of the group modulo torsion |
j |
3005441226769660561/560883204000000 |
j-invariant |
L |
7.5975379385656 |
L(r)(E,1)/r! |
Ω |
0.21202696572912 |
Real period |
R |
1.7916442638445 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630t1 |
Quadratic twists by: -3 |