Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400f |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4510134000000000 = 210 · 33 · 59 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1802408,931977312] |
[a1,a2,a3,a4,a6] |
j |
40472803590982276/281883375 |
j-invariant |
L |
0.7790002436117 |
L(r)(E,1)/r! |
Ω |
0.38950012180585 |
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 |
10200r3 81600im4 61200bd4 4080l3 |
Quadratic twists by: -4 8 -3 5 |