Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120cb |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-621465600 = -1 · 212 · 3 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,1199] |
[a1,a2,a3,a4,a6] |
Generators |
[25:132:1] |
Generators of the group modulo torsion |
j |
-64/151725 |
j-invariant |
L |
7.2442454970676 |
L(r)(E,1)/r! |
Ω |
1.2920818878832 |
Real period |
R |
2.8033229027368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120bf2 114240hm1 |
Quadratic twists by: -4 8 |