Atkin-Lehner |
2+ 3+ 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346h |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
20818944 |
Modular degree for the optimal curve |
Δ |
3.2501780939261E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 11+ 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47680356,126438277968] |
[a1,a2,a3,a4,a6] |
Generators |
[4392:39420:1] |
Generators of the group modulo torsion |
j |
443995349407040567288187099/1203769664417062665472 |
j-invariant |
L |
2.0267912506005 |
L(r)(E,1)/r! |
Ω |
0.11720905265269 |
Real period |
R |
1.4410087553667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883129 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104346bi2 |
Quadratic twists by: -3 |