Atkin-Lehner |
2+ 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616m |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
136348953713086464 = 212 · 36 · 78 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7692809,8209919991] |
[a1,a2,a3,a4,a6] |
Generators |
[-1601:128160:1] |
Generators of the group modulo torsion |
j |
12291890134038495458752/33288318777609 |
j-invariant |
L |
5.8243432023959 |
L(r)(E,1)/r! |
Ω |
0.2846161193217 |
Real period |
R |
3.4106425641272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000165554 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119616g2 59808f1 |
Quadratic twists by: -4 8 |