Atkin-Lehner |
2- 5- 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
108650s |
Isogeny class |
Conductor |
108650 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
Δ |
-2194689947264000 = -1 · 210 · 53 · 41 · 535 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -3 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-325528,71387481] |
[a1,a2,a3,a4,a6] |
Generators |
[389:1757:1] |
Generators of the group modulo torsion |
j |
-30519599654009703509/17557519578112 |
j-invariant |
L |
6.5823891756227 |
L(r)(E,1)/r! |
Ω |
0.45706594863667 |
Real period |
R |
3.6003497779966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043764 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
108650i2 |
Quadratic twists by: 5 |