Atkin-Lehner |
2- 3- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230bg |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
490 |
Product of Tamagawa factors cp |
deg |
1599360 |
Modular degree for the optimal curve |
Δ |
-1.078799563454E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1431945,827351577] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:32043:1] |
Generators of the group modulo torsion |
j |
-324715293151697093924881/107879956345403832960 |
j-invariant |
L |
10.919505370834 |
L(r)(E,1)/r! |
Ω |
0.17749178758549 |
Real period |
R |
0.12555344188927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690l1 |
Quadratic twists by: -3 |