Atkin-Lehner |
2+ 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51240d |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2894655204000000 = 28 · 34 · 56 · 74 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92300,-10447500] |
[a1,a2,a3,a4,a6] |
j |
339698442090571216/11307246890625 |
j-invariant |
L |
3.2935648513812 |
L(r)(E,1)/r! |
Ω |
0.27446373759319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102480t2 |
Quadratic twists by: -4 |