Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240k |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
289018528727040 = 216 · 32 · 5 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68481,-6826239] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:219:1] [-145:184:1] |
Generators of the group modulo torsion |
j |
541951476635524/4410072765 |
j-invariant |
L |
9.1542762563177 |
L(r)(E,1)/r! |
Ω |
0.29527021826649 |
Real period |
R |
15.501523166287 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jg4 14280x3 |
Quadratic twists by: -4 8 |