Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600cv |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-26891955273728000 = -1 · 219 · 53 · 177 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -6 -3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83328,-12136448] |
[a1,a2,a3,a4,a6] |
Generators |
[346:578:1] |
Generators of the group modulo torsion |
j |
-5177717/2176 |
j-invariant |
L |
4.4616557114805 |
L(r)(E,1)/r! |
Ω |
0.13766853929036 |
Real period |
R |
2.025542557627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998848346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450bf1 115600cn1 6800u1 |
Quadratic twists by: -4 5 17 |