Atkin-Lehner |
2- 3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bb |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1052825174016 = -1 · 214 · 3 · 7 · 115 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11+ -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2651887040,52563944556288] |
[a1,a2,a3,a4,a6] |
j |
-503534030533176545949822874561/257037396 |
j-invariant |
L |
0.32831727951002 |
L(r)(E,1)/r! |
Ω |
0.16415863811708 |
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 |
8778x2 |
Quadratic twists by: -4 |