Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974bj |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-4896328464728064 = -1 · 219 · 36 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -2 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-269886,53958267] |
[a1,a2,a3,a4,a6] |
Generators |
[-589:3297:1] [241:1607:1] |
Generators of the group modulo torsion |
j |
-6338270396050790023/14275010101248 |
j-invariant |
L |
12.293553031166 |
L(r)(E,1)/r! |
Ω |
0.43349657173973 |
Real period |
R |
0.12438181927422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974bv1 |
Quadratic twists by: -7 |