Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200fz |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13271040 |
Modular degree for the optimal curve |
Δ |
-8.3726092468224E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41393633,-103433044863] |
[a1,a2,a3,a4,a6] |
Generators |
[2681027019890048946619513101214105138177:793052572605951402272697294232660604616704:30471920409626098858928200928902597] |
Generators of the group modulo torsion |
j |
-1914980734749238129/20440940544000 |
j-invariant |
L |
6.9145818549257 |
L(r)(E,1)/r! |
Ω |
0.029741295837404 |
Real period |
R |
58.122735263367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200dd1 22800cy1 18240cy1 |
Quadratic twists by: -4 8 5 |