Atkin-Lehner |
2- 3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12210y |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
625 |
Product of Tamagawa factors cp |
deg |
104000 |
Modular degree for the optimal curve |
Δ |
18535639706100000 = 25 · 35 · 55 · 11 · 375 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-130890,-17019900] |
[a1,a2,a3,a4,a6] |
j |
247995227167710291361/18535639706100000 |
j-invariant |
L |
6.304633372602 |
L(r)(E,1)/r! |
Ω |
0.25218533490408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
97680br1 36630j1 61050h1 |
Quadratic twists by: -4 -3 5 |