Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700j |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1965600 |
Modular degree for the optimal curve |
Δ |
-4.13575475547E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9520333,-11307511463] |
[a1,a2,a3,a4,a6] |
Generators |
[4981608143:122695884150:1295029] |
Generators of the group modulo torsion |
j |
-6922240/3 |
j-invariant |
L |
5.7812694301658 |
L(r)(E,1)/r! |
Ω |
0.042972956172327 |
Real period |
R |
14.948081938933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50700r1 50700k1 |
Quadratic twists by: 5 13 |