Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40460p |
Isogeny class |
Conductor |
40460 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
310080 |
Modular degree for the optimal curve |
Δ |
-519270556394240 = -1 · 28 · 5 · 75 · 176 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 5 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9248,1041556] |
[a1,a2,a3,a4,a6] |
j |
14155776/84035 |
j-invariant |
L |
1.8863349298078 |
L(r)(E,1)/r! |
Ω |
0.37726698593398 |
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 |
140b1 |
Quadratic twists by: 17 |