Atkin-Lehner |
2+ 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050v |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1336243521600000000 = 212 · 34 · 58 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-470876,111199898] |
[a1,a2,a3,a4,a6] |
j |
738961865281963441/85519585382400 |
j-invariant |
L |
2.0974360006457 |
L(r)(E,1)/r! |
Ω |
0.26217950007966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
111150ds2 7410n2 |
Quadratic twists by: -3 5 |