Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310be |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.4938087601286E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,96696,-284174240] |
[a1,a2,a3,a4,a6] |
Generators |
[1071:31822:1] [1731:70322:1] |
Generators of the group modulo torsion |
j |
137157381314370431/47926046092298400 |
j-invariant |
L |
7.0685104035099 |
L(r)(E,1)/r! |
Ω |
0.096879382651783 |
Real period |
R |
6.0801639884819 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770w2 |
Quadratic twists by: -3 |