Atkin-Lehner |
2- 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050bp |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3624792539062500 = 22 · 32 · 510 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-125963,-17014219] |
[a1,a2,a3,a4,a6] |
Generators |
[-1722:4289:8] |
Generators of the group modulo torsion |
j |
14145975058083049/231986722500 |
j-invariant |
L |
8.0682419334945 |
L(r)(E,1)/r! |
Ω |
0.25367088662821 |
Real period |
R |
3.9757429600698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
111150bh2 7410i2 |
Quadratic twists by: -3 5 |