Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120bi |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
163202692800000 = 29 · 3 · 55 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98056,-11769800] |
[a1,a2,a3,a4,a6] |
Generators |
[301416627:18490838716:79507] |
Generators of the group modulo torsion |
j |
203648257981030472/318755259375 |
j-invariant |
L |
4.2656379542967 |
L(r)(E,1)/r! |
Ω |
0.26981834176354 |
Real period |
R |
15.809295715151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120t2 114240eg2 |
Quadratic twists by: -4 8 |