Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240g |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2856000000000000 = -1 · 215 · 3 · 512 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5601,-2574399] |
[a1,a2,a3,a4,a6] |
Generators |
[635:15796:1] |
Generators of the group modulo torsion |
j |
-593127460808/87158203125 |
j-invariant |
L |
4.7424091586841 |
L(r)(E,1)/r! |
Ω |
0.20114267055862 |
Real period |
R |
5.8943350777991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999694844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dm3 57120cg2 |
Quadratic twists by: -4 8 |