Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ev |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-660063825047531520 = -1 · 212 · 35 · 5 · 77 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102965,41139645] |
[a1,a2,a3,a4,a6] |
j |
-250523582464/1369738755 |
j-invariant |
L |
0.99498429547617 |
L(r)(E,1)/r! |
Ω |
0.24874611256921 |
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 |
8085y1 18480cm1 |
Quadratic twists by: -4 -7 |