Atkin-Lehner |
3+ 5+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109395b |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
362644425 = 33 · 52 · 11 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11+ 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2888,60442] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:358:1] [-20:341:1] |
Generators of the group modulo torsion |
j |
98630339207427/13431275 |
j-invariant |
L |
6.3327139515284 |
L(r)(E,1)/r! |
Ω |
1.6386856142074 |
Real period |
R |
0.96612704364858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109395f1 |
Quadratic twists by: -3 |