Atkin-Lehner |
3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27195j |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-571095 = -1 · 32 · 5 · 73 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20,20] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
2571353/1665 |
j-invariant |
L |
2.9170762853318 |
L(r)(E,1)/r! |
Ω |
1.8168898576255 |
Real period |
R |
1.6055328137195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585m1 27195n1 |
Quadratic twists by: -3 -7 |