Atkin-Lehner |
3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49197m |
Isogeny class |
Conductor |
49197 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-24648256638653211 = -1 · 35 · 237 · 313 |
Discriminant |
Eigenvalues |
-2 3- -3 -4 2 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1372402,618417100] |
[a1,a2,a3,a4,a6] |
Generators |
[728:2380:1] |
Generators of the group modulo torsion |
j |
-1931083438845952/166501899 |
j-invariant |
L |
2.0943721613484 |
L(r)(E,1)/r! |
Ω |
0.36110927642308 |
Real period |
R |
0.28999146491693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2139e1 |
Quadratic twists by: -23 |