Atkin-Lehner |
3+ 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90525a |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2466968912109375 = 3 · 59 · 174 · 712 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39313,1797656] |
[a1,a2,a3,a4,a6] |
Generators |
[31:765:1] |
Generators of the group modulo torsion |
j |
430044042509641/157886010375 |
j-invariant |
L |
2.611728843765 |
L(r)(E,1)/r! |
Ω |
0.41900262604779 |
Real period |
R |
3.1166020116093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999592023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18105k2 |
Quadratic twists by: 5 |