Atkin-Lehner |
13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108953f |
Isogeny class |
Conductor |
108953 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
9099863513 = 13 · 176 · 29 |
Discriminant |
Eigenvalues |
1 0 2 0 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2366,44655] |
[a1,a2,a3,a4,a6] |
j |
60698457/377 |
j-invariant |
L |
2.6122897463955 |
L(r)(E,1)/r! |
Ω |
1.3061450416316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
377a1 |
Quadratic twists by: 17 |