Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800bd |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2142720 |
Modular degree for the optimal curve |
Δ |
-2134905046560000000 = -1 · 211 · 33 · 57 · 113 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5028408,-4342287312] |
[a1,a2,a3,a4,a6] |
Generators |
[3003:87450:1] |
Generators of the group modulo torsion |
j |
-439405355845493858/66715782705 |
j-invariant |
L |
7.3008303860634 |
L(r)(E,1)/r! |
Ω |
0.050408986830088 |
Real period |
R |
4.0231089083158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17160s1 |
Quadratic twists by: 5 |