Atkin-Lehner |
3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35175i |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30049892578125 = 38 · 510 · 7 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63588,6139656] |
[a1,a2,a3,a4,a6] |
j |
1819824927790969/1923193125 |
j-invariant |
L |
1.3168470753907 |
L(r)(E,1)/r! |
Ω |
0.65842353769507 |
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 |
105525u4 7035g4 |
Quadratic twists by: -3 5 |