Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240z |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
99215942918400 = 28 · 32 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41636,-3248640] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:114:1] |
Generators of the group modulo torsion |
j |
31181799673942864/387562277025 |
j-invariant |
L |
4.7840707606439 |
L(r)(E,1)/r! |
Ω |
0.33447055284389 |
Real period |
R |
3.5758534794517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480f2 73920be2 27720q2 46200h2 |
Quadratic twists by: -4 8 -3 5 |