Atkin-Lehner |
2- 3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464bn |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-389904969526345728 = -1 · 216 · 310 · 72 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -6 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,131336,23854292] |
[a1,a2,a3,a4,a6] |
Generators |
[548:-16146:1] [-4:4830:1] |
Generators of the group modulo torsion |
j |
61166244013918343/95191642950768 |
j-invariant |
L |
11.449558952907 |
L(r)(E,1)/r! |
Ω |
0.20448175493355 |
Real period |
R |
0.46660882438528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558d1 |
Quadratic twists by: -4 |