Atkin-Lehner |
2+ 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050x |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
296978906250 = 2 · 34 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-280751,57233648] |
[a1,a2,a3,a4,a6] |
Generators |
[-4394:56343:8] [312:-344:1] |
Generators of the group modulo torsion |
j |
156626555801245921/19006650 |
j-invariant |
L |
7.2853978475375 |
L(r)(E,1)/r! |
Ω |
0.75368520861973 |
Real period |
R |
1.2082958780761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150dy2 7410o2 |
Quadratic twists by: -3 5 |