Atkin-Lehner |
3- 7+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109557i |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
256000 |
Modular degree for the optimal curve |
Δ |
-135718003295847 = -1 · 316 · 72 · 372 · 47 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -2 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6961,-515730] |
[a1,a2,a3,a4,a6] |
Generators |
[60:309:1] |
Generators of the group modulo torsion |
j |
51176381367383/186170100543 |
j-invariant |
L |
4.6164756321121 |
L(r)(E,1)/r! |
Ω |
0.29663666819569 |
Real period |
R |
3.8906818649926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36519a1 |
Quadratic twists by: -3 |