Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bm |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
3.468148404681E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60340588,180363360781] |
[a1,a2,a3,a4,a6] |
Generators |
[4165:34217:1] |
Generators of the group modulo torsion |
j |
1555006827939811751684089/221961497899581440 |
j-invariant |
L |
13.284378894633 |
L(r)(E,1)/r! |
Ω |
0.13588955668892 |
Real period |
R |
0.58189669481077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010f1 |
Quadratic twists by: 5 |