Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gk |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3.6678964874624E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19948896,18078514740] |
[a1,a2,a3,a4,a6] |
Generators |
[22140:3229470:1] |
Generators of the group modulo torsion |
j |
1821931919215868881/761147600816295 |
j-invariant |
L |
9.188557290086 |
L(r)(E,1)/r! |
Ω |
0.086364259132195 |
Real period |
R |
4.4330439725602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998788837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085g3 18480cd3 |
Quadratic twists by: -4 -7 |