Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280ca |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3409920 |
Modular degree for the optimal curve |
Δ |
-445395718656000 = -1 · 212 · 36 · 53 · 75 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 0 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12533256,-17082452556] |
[a1,a2,a3,a4,a6] |
Generators |
[45413345364:8459220209010:1295029] |
Generators of the group modulo torsion |
j |
-53156396270339108473609/108739189125 |
j-invariant |
L |
8.8081455534092 |
L(r)(E,1)/r! |
Ω |
0.040119321393352 |
Real period |
R |
18.295726446968 |
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 |
7455a1 |
Quadratic twists by: -4 |