Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bc |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27578880 |
Modular degree for the optimal curve |
Δ |
-8.7680174412864E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -3 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101469008,418447243980] |
[a1,a2,a3,a4,a6] |
j |
-11687830210426531250/886974917850099 |
j-invariant |
L |
0.28764852333747 |
L(r)(E,1)/r! |
Ω |
0.071912279998672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9048b1 |
Quadratic twists by: 13 |