Atkin-Lehner |
2- 3- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642cc |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-36822921408 = -1 · 26 · 37 · 73 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-842,13385] |
[a1,a2,a3,a4,a6] |
Generators |
[15:55:1] [-29:127:1] |
Generators of the group modulo torsion |
j |
-90458382169/50511552 |
j-invariant |
L |
13.583864824013 |
L(r)(E,1)/r! |
Ω |
1.0735362234066 |
Real period |
R |
0.17574142828745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214o1 |
Quadratic twists by: -3 |