Atkin-Lehner |
2- 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10506h |
Isogeny class |
Conductor |
10506 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
275524556688 = 24 · 32 · 17 · 1034 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13277,-589407] |
[a1,a2,a3,a4,a6] |
j |
258836561772597073/275524556688 |
j-invariant |
L |
7.1165930891417 |
L(r)(E,1)/r! |
Ω |
0.44478706807136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84048t4 31518f4 |
Quadratic twists by: -4 -3 |