Atkin-Lehner |
2+ 3- 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107010k |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
671744 |
Modular degree for the optimal curve |
Δ |
298451143399680 = 28 · 314 · 5 · 29 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41814,-3173900] |
[a1,a2,a3,a4,a6] |
j |
11090909737189729/409398001920 |
j-invariant |
L |
1.338485692217 |
L(r)(E,1)/r! |
Ω |
0.33462147001954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35670g1 |
Quadratic twists by: -3 |