Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200cq |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-4352901120000 = -1 · 221 · 34 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -2 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12608,-549888] |
[a1,a2,a3,a4,a6] |
j |
-86587817425/1700352 |
j-invariant |
L |
2.7001066992373 |
L(r)(E,1)/r! |
Ω |
0.2250088916104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6150bi1 49200dp1 |
Quadratic twists by: -4 5 |