Atkin-Lehner |
2+ 3- 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526o |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3770265201708348 = 22 · 310 · 7 · 172 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-393156,94936900] |
[a1,a2,a3,a4,a6] |
j |
9219163746536041537/5171831552412 |
j-invariant |
L |
3.4941288165342 |
L(r)(E,1)/r! |
Ω |
0.43676607364489 |
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 |
37842p4 |
Quadratic twists by: -3 |