Atkin-Lehner |
2+ 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994t |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-9.3386995505763E+18 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 -1 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,387682,-113919856] |
[a1,a2,a3,a4,a6] |
Generators |
[1938:88009:1] |
Generators of the group modulo torsion |
j |
1335033367297631/1934756388864 |
j-invariant |
L |
6.3945289994674 |
L(r)(E,1)/r! |
Ω |
0.12227614009049 |
Real period |
R |
1.4526612092247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538o1 |
Quadratic twists by: 13 |