Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166s |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3401343332352 = -1 · 212 · 310 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,909,-88331] |
[a1,a2,a3,a4,a6] |
j |
113872553423/4665765888 |
j-invariant |
L |
2.2845867008582 |
L(r)(E,1)/r! |
Ω |
0.38076445014304 |
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 |
41328bn1 1722m1 129150cv1 36162s1 |
Quadratic twists by: -4 -3 5 -7 |