Atkin-Lehner |
3- 5- 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205bb |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
10598400 |
Modular degree for the optimal curve |
Δ |
-1.9559542223312E+22 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 11+ 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1028463,6716811465] |
[a1,a2,a3,a4,a6] |
Generators |
[14674:972401:8] |
Generators of the group modulo torsion |
j |
165029734201154195456/26830647768604246875 |
j-invariant |
L |
14.623979855546 |
L(r)(E,1)/r! |
Ω |
0.093952256887584 |
Real period |
R |
1.9456663935024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999965779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42735i1 |
Quadratic twists by: -3 |