Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310r |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.1797172230061E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86685849,263070600493] |
[a1,a2,a3,a4,a6] |
Generators |
[-3381:14132873:27] |
Generators of the group modulo torsion |
j |
98819080310040664691487889/16182677956187245651200 |
j-invariant |
L |
5.7750739971977 |
L(r)(E,1)/r! |
Ω |
0.068315686060884 |
Real period |
R |
10.566888679251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770n2 |
Quadratic twists by: -3 |