Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ff |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
381182760000000 = 29 · 34 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69008,-6890988] |
[a1,a2,a3,a4,a6] |
Generators |
[2746:24975:8] |
Generators of the group modulo torsion |
j |
38614472/405 |
j-invariant |
L |
5.7550527938086 |
L(r)(E,1)/r! |
Ω |
0.29474693886049 |
Real period |
R |
4.881350772715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004797 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600gz3 23520x3 2400bb3 |
Quadratic twists by: -4 5 -7 |