Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
63948h |
Isogeny class |
Conductor |
63948 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1261440 |
Modular degree for the optimal curve |
Δ |
1045172279094728976 = 24 · 34 · 738 |
Discriminant |
Eigenvalues |
2- 3- -1 4 5 -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-907706,-329511807] |
[a1,a2,a3,a4,a6] |
Generators |
[-596:357:1] |
Generators of the group modulo torsion |
j |
6409984/81 |
j-invariant |
L |
8.7376585771248 |
L(r)(E,1)/r! |
Ω |
0.15479080469417 |
Real period |
R |
4.7040146614805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63948g1 |
Quadratic twists by: 73 |