Atkin-Lehner |
2+ 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310w |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
28167580224000 = 29 · 38 · 53 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150527979,-710805809147] |
[a1,a2,a3,a4,a6] |
j |
517425559361898728438440369/38638656000 |
j-invariant |
L |
2.0688856352808 |
L(r)(E,1)/r! |
Ω |
0.043101784068349 |
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 |
7770m2 116550ef2 |
Quadratic twists by: -3 5 |