Atkin-Lehner |
2+ 3+ 5- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
36210f |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
519168 |
Modular degree for the optimal curve |
Δ |
6013587065625000 = 23 · 313 · 58 · 17 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 5 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-297817,-62569379] |
[a1,a2,a3,a4,a6] |
j |
2921288467764892682521/6013587065625000 |
j-invariant |
L |
1.6351428189694 |
L(r)(E,1)/r! |
Ω |
0.20439285237527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108630s1 |
Quadratic twists by: -3 |