Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
64980c |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3447360 |
Modular degree for the optimal curve |
Δ |
-6.0338888576149E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3518667,2741041593] |
[a1,a2,a3,a4,a6] |
Generators |
[209726416502836253448:17571776179551284649537:203346225800779823] |
Generators of the group modulo torsion |
j |
2495232/3125 |
j-invariant |
L |
5.930815868565 |
L(r)(E,1)/r! |
Ω |
0.090188527332746 |
Real period |
R |
32.880101516036 |
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 |
64980g1 64980a1 |
Quadratic twists by: -3 -19 |