Atkin-Lehner |
3- 5+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205s |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
39181114665 = 36 · 5 · 74 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83318,9277476] |
[a1,a2,a3,a4,a6] |
Generators |
[168:-60:1] |
Generators of the group modulo torsion |
j |
87742055922617881/53746385 |
j-invariant |
L |
3.0542934096398 |
L(r)(E,1)/r! |
Ω |
0.94873622417797 |
Real period |
R |
0.8048320640407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000247188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245f1 |
Quadratic twists by: -3 |