Atkin-Lehner |
2+ 3+ 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450c |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-3609026250000000 = -1 · 27 · 3 · 510 · 19 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,29250,-2143500] |
[a1,a2,a3,a4,a6] |
Generators |
[4363595:49097715:50653] |
Generators of the group modulo torsion |
j |
177116123227679/230977680000 |
j-invariant |
L |
5.2160317256175 |
L(r)(E,1)/r! |
Ω |
0.23688689852362 |
Real period |
R |
11.009540249988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090p1 |
Quadratic twists by: 5 |