Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230s |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.8760599218707E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55133370,-125904965004] |
[a1,a2,a3,a4,a6] |
Generators |
[-27424876:-422803082:4913] |
Generators of the group modulo torsion |
j |
14351050585434661561/3001282273281600 |
j-invariant |
L |
4.3652050826717 |
L(r)(E,1)/r! |
Ω |
0.056222029324353 |
Real period |
R |
9.7052817508578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002495 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410cu6 6930ba6 |
Quadratic twists by: -3 -11 |