Atkin-Lehner |
2- 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210u |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
80019456000 = 219 · 3 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- -1 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34131,2412753] |
[a1,a2,a3,a4,a6] |
Generators |
[99:78:1] |
Generators of the group modulo torsion |
j |
4397152681594331569/80019456000 |
j-invariant |
L |
5.0239024990849 |
L(r)(E,1)/r! |
Ω |
0.99629467959295 |
Real period |
R |
0.26539931048563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97680cd1 36630o1 61050bc1 |
Quadratic twists by: -4 -3 5 |