Atkin-Lehner |
2- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760z |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
2955856117760 = 216 · 5 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -2 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5216,117364] |
[a1,a2,a3,a4,a6] |
Generators |
[12:238:1] |
Generators of the group modulo torsion |
j |
3832302404449/721644560 |
j-invariant |
L |
3.8127874148196 |
L(r)(E,1)/r! |
Ω |
0.76233420362142 |
Real period |
R |
0.6251830459534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000155224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15470j1 |
Quadratic twists by: -4 |