Atkin-Lehner |
3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119145f |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-1257722176213035 = -1 · 38 · 5 · 138 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5859,1699481] |
[a1,a2,a3,a4,a6] |
Generators |
[225:3802:1] |
Generators of the group modulo torsion |
j |
27262976/1541835 |
j-invariant |
L |
6.2818106231826 |
L(r)(E,1)/r! |
Ω |
0.36864922797761 |
Real period |
R |
0.7100031407649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999984512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119145i1 |
Quadratic twists by: 13 |