Atkin-Lehner |
2- 3+ 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
111504l |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-21009137664 = -1 · 217 · 3 · 232 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,536,-5264] |
[a1,a2,a3,a4,a6] |
Generators |
[90:874:1] |
Generators of the group modulo torsion |
j |
4149995543/5129184 |
j-invariant |
L |
6.1517513905394 |
L(r)(E,1)/r! |
Ω |
0.64907666016567 |
Real period |
R |
2.369424034897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13938e1 |
Quadratic twists by: -4 |