Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240gm |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
47377612800 = 216 · 35 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61689601,186515076385] |
[a1,a2,a3,a4,a6] |
j |
396168254899399897286404/722925 |
j-invariant |
L |
1.4007680692415 |
L(r)(E,1)/r! |
Ω |
0.35019205521335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dg4 28560bz4 |
Quadratic twists by: -4 8 |