Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600cw |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-656541876800000000 = -1 · 212 · 58 · 177 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -4 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-349208,-88363088] |
[a1,a2,a3,a4,a6] |
Generators |
[86770:224842:125] |
Generators of the group modulo torsion |
j |
-121945/17 |
j-invariant |
L |
4.626201166772 |
L(r)(E,1)/r! |
Ω |
0.097442750656074 |
Real period |
R |
5.9345117957893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998731379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7225h1 115600bi1 6800w1 |
Quadratic twists by: -4 5 17 |