Atkin-Lehner |
3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52215d |
Isogeny class |
Conductor |
52215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51968 |
Modular degree for the optimal curve |
Δ |
-632708004615 = -1 · 3 · 5 · 596 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72,-38301] |
[a1,a2,a3,a4,a6] |
Generators |
[9527807457813907019230:-278013340349408013524607:11599640398573395839] |
Generators of the group modulo torsion |
j |
-1/15 |
j-invariant |
L |
7.4816581469677 |
L(r)(E,1)/r! |
Ω |
0.41562607312189 |
Real period |
R |
36.001871060603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15a8 |
Quadratic twists by: -59 |