Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400y |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3153945600000000 = 216 · 36 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41633,1855137] |
[a1,a2,a3,a4,a6] |
j |
7793764996/3080025 |
j-invariant |
L |
1.6320605617913 |
L(r)(E,1)/r! |
Ω |
0.4080151411009 |
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 |
62400gx2 7800t2 12480bg2 |
Quadratic twists by: -4 8 5 |