Atkin-Lehner |
5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36575i |
Isogeny class |
Conductor |
36575 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
136800 |
Modular degree for the optimal curve |
Δ |
-3154536030078125 = -1 · 58 · 75 · 113 · 192 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- 11+ 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2638,2701656] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-1693:1] |
Generators of the group modulo torsion |
j |
-5197545985/8075612237 |
j-invariant |
L |
2.7032702903033 |
L(r)(E,1)/r! |
Ω |
0.36139387660007 |
Real period |
R |
0.2493374003027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36575a1 |
Quadratic twists by: 5 |