Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150cu |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
280800 |
Modular degree for the optimal curve |
Δ |
-5153155200000000 = -1 · 213 · 36 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -5 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-172805,-27820803] |
[a1,a2,a3,a4,a6] |
Generators |
[519:4440:1] |
Generators of the group modulo torsion |
j |
-2004023020585/18096128 |
j-invariant |
L |
8.7772811412421 |
L(r)(E,1)/r! |
Ω |
0.11701639506402 |
Real period |
R |
0.96165366689836 |
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 |
2350f1 21150x1 |
Quadratic twists by: -3 5 |