Atkin-Lehner |
2+ 3+ 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550c |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
165442500000000 = 28 · 34 · 510 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-267150,53032500] |
[a1,a2,a3,a4,a6] |
j |
134949649760741089/10588320000 |
j-invariant |
L |
1.0936089996765 |
L(r)(E,1)/r! |
Ω |
0.54680441881531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510p1 |
Quadratic twists by: 5 |