Atkin-Lehner |
2+ 3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450p |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8812281584812500000 = 25 · 34 · 59 · 196 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-628575,-128302875] |
[a1,a2,a3,a4,a6] |
Generators |
[1419:42180:1] |
Generators of the group modulo torsion |
j |
14062614281162117/4511888171424 |
j-invariant |
L |
2.2327180690209 |
L(r)(E,1)/r! |
Ω |
0.1738628739542 |
Real period |
R |
6.4209166461402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105450cl2 |
Quadratic twists by: 5 |