Atkin-Lehner |
3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
63897n |
Isogeny class |
Conductor |
63897 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-252036969400179 = -1 · 34 · 197 · 592 |
Discriminant |
Eigenvalues |
0 3- -1 -1 -3 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-54631,4955644] |
[a1,a2,a3,a4,a6] |
Generators |
[158:-542:1] [74:1150:1] |
Generators of the group modulo torsion |
j |
-383290015744/5357259 |
j-invariant |
L |
9.1784411490753 |
L(r)(E,1)/r! |
Ω |
0.55560517573943 |
Real period |
R |
0.51624120586498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3363a1 |
Quadratic twists by: -19 |