Atkin-Lehner |
3+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
128865i |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-707517174375 = -1 · 32 · 54 · 116 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,603,-39816] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1086:1] |
Generators of the group modulo torsion |
j |
13651919/399375 |
j-invariant |
L |
5.4457964875465 |
L(r)(E,1)/r! |
Ω |
0.43634478636401 |
Real period |
R |
3.1201223357346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1065b1 |
Quadratic twists by: -11 |