Atkin-Lehner |
3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
36135f |
Isogeny class |
Conductor |
36135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
137200078125 = 37 · 57 · 11 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 11- 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3018,-61277] |
[a1,a2,a3,a4,a6] |
j |
4170171252736/188203125 |
j-invariant |
L |
1.2918463458052 |
L(r)(E,1)/r! |
Ω |
0.64592317290887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12045a1 |
Quadratic twists by: -3 |