Atkin-Lehner |
2+ 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730bi |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-129003893235000 = -1 · 23 · 32 · 54 · 77 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10117,-380194] |
[a1,a2,a3,a4,a6] |
j |
973536925031/1096515000 |
j-invariant |
L |
2.5262160488645 |
L(r)(E,1)/r! |
Ω |
0.31577699305384 |
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 |
12390d2 |
Quadratic twists by: -7 |