Atkin-Lehner |
5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13475d |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-38925274609375 = -1 · 58 · 77 · 112 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 11+ 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,-300177] |
[a1,a2,a3,a4,a6] |
j |
-1/21175 |
j-invariant |
L |
1.1865222514998 |
L(r)(E,1)/r! |
Ω |
0.29663056287496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275ep1 2695b1 1925c1 |
Quadratic twists by: -3 5 -7 |