Atkin-Lehner |
2+ 3+ 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650k |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16632000 |
Modular degree for the optimal curve |
Δ |
-7.0202941100615E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -1 -7 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10836075,-42590527875] |
[a1,a2,a3,a4,a6] |
Generators |
[273204165:4151368480:59319] |
Generators of the group modulo torsion |
j |
-72045978229503895877/359439058435147776 |
j-invariant |
L |
2.6826685885771 |
L(r)(E,1)/r! |
Ω |
0.037565375708691 |
Real period |
R |
11.902221708028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650di1 |
Quadratic twists by: 5 |