Atkin-Lehner |
3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
71175n |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-4397947734375 = -1 · 33 · 57 · 134 · 73 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3724,50573] |
[a1,a2,a3,a4,a6] |
j |
365679263951/281468655 |
j-invariant |
L |
2.9863591182611 |
L(r)(E,1)/r! |
Ω |
0.49772651755935 |
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 |
14235a1 |
Quadratic twists by: 5 |