Atkin-Lehner |
2+ 3- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
23478m |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3257856 |
Modular degree for the optimal curve |
Δ |
2.1324234986522E+21 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27876514,56604861044] |
[a1,a2,a3,a4,a6] |
Generators |
[2395634792415:-4061170622621:766060875] |
Generators of the group modulo torsion |
j |
2395736671494850517314775449/2132423498652240638208 |
j-invariant |
L |
6.2438329351274 |
L(r)(E,1)/r! |
Ω |
0.14568816982947 |
Real period |
R |
14.285838359275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70434z1 |
Quadratic twists by: -3 |