Atkin-Lehner |
2+ 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016m |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
-6.3526007559359E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 -2 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44348801,113697815937] |
[a1,a2,a3,a4,a6] |
Generators |
[97:330752:1] |
Generators of the group modulo torsion |
j |
-36798443442923099464801/2423324873327616 |
j-invariant |
L |
4.7454665945251 |
L(r)(E,1)/r! |
Ω |
0.15396594383972 |
Real period |
R |
0.51369223565753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62016ct1 1938j1 |
Quadratic twists by: -4 8 |