Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362n |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-1.3355507021535E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,27463918,-4756443100] |
[a1,a2,a3,a4,a6] |
Generators |
[4269:434089:1] |
Generators of the group modulo torsion |
j |
2581315285024874663/1504839620100096 |
j-invariant |
L |
3.8843536120238 |
L(r)(E,1)/r! |
Ω |
0.050618138956244 |
Real period |
R |
3.8369186344289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086z1 1302a1 |
Quadratic twists by: -3 -31 |