Atkin-Lehner |
2- 3- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690bz |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
72822571941888000 = 217 · 36 · 53 · 174 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2382242,1415765409] |
[a1,a2,a3,a4,a6] |
Generators |
[777:5391:1] |
Generators of the group modulo torsion |
j |
2050943254369102052569/99893788672000 |
j-invariant |
L |
11.02377340918 |
L(r)(E,1)/r! |
Ω |
0.32564925936981 |
Real period |
R |
0.33187918165534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410b1 |
Quadratic twists by: -3 |