Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050h |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
80718750 = 2 · 32 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-688800,219746250] |
[a1,a2,a3,a4,a6] |
Generators |
[479:-230:1] |
Generators of the group modulo torsion |
j |
2313045024604457473/5166 |
j-invariant |
L |
2.855448165703 |
L(r)(E,1)/r! |
Ω |
0.88977491268695 |
Real period |
R |
1.6045901749922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150da4 1722o4 |
Quadratic twists by: -3 5 |