Atkin-Lehner |
5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36575a |
Isogeny class |
Conductor |
36575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
-201890305925 = -1 · 52 · 75 · 113 · 192 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ 11+ -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-106,21613] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3176:1] |
Generators of the group modulo torsion |
j |
-5197545985/8075612237 |
j-invariant |
L |
6.4690182173787 |
L(r)(E,1)/r! |
Ω |
0.80810127472993 |
Real period |
R |
4.0026036461456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36575i1 |
Quadratic twists by: 5 |