Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dg |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
13564489236480 = 220 · 37 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54003,4827058] |
[a1,a2,a3,a4,a6] |
Generators |
[146:234:1] |
Generators of the group modulo torsion |
j |
5832972054001/4542720 |
j-invariant |
L |
5.0818345931827 |
L(r)(E,1)/r! |
Ω |
0.70108898082365 |
Real period |
R |
1.8121218320843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190k1 21840ck1 |
Quadratic twists by: -4 -3 |