Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950r |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3358080 |
Modular degree for the optimal curve |
Δ |
1511397578925781250 = 2 · 510 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 5 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-606576,-171995452] |
[a1,a2,a3,a4,a6] |
j |
11790625/722 |
j-invariant |
L |
1.3738190845696 |
L(r)(E,1)/r! |
Ω |
0.17172744246515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950dl1 114950cz1 |
Quadratic twists by: 5 -11 |