Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616n |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
690795085037568 = 219 · 3 · 7 · 894 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24897,820767] |
[a1,a2,a3,a4,a6] |
Generators |
[133171545704785:10567527655608972:21139047125] |
Generators of the group modulo torsion |
j |
6510918987217/2635174122 |
j-invariant |
L |
11.049702290094 |
L(r)(E,1)/r! |
Ω |
0.46207307579011 |
Real period |
R |
23.913322052726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616q3 3738c4 |
Quadratic twists by: -4 8 |