Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400i |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45507096000000000 = 212 · 39 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-434700,-109836000] |
[a1,a2,a3,a4,a6] |
j |
7211429568/36125 |
j-invariant |
L |
2.9757975583432 |
L(r)(E,1)/r! |
Ω |
0.18598721618526 |
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 |
122400cj2 122400cf2 24480v2 |
Quadratic twists by: -4 -3 5 |