Atkin-Lehner |
2+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26714k |
Isogeny class |
Conductor |
26714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2592000 |
Modular degree for the optimal curve |
Δ |
-5.2256821880967E+21 |
Discriminant |
Eigenvalues |
2+ 3 -2 -1 0 -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-429838,-3479583916] |
[a1,a2,a3,a4,a6] |
Generators |
[47535902061:-28479918355528:132651] |
Generators of the group modulo torsion |
j |
-186688297520577/111076295671808 |
j-invariant |
L |
5.9850378404874 |
L(r)(E,1)/r! |
Ω |
0.061196040775136 |
Real period |
R |
12.22513287763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406g1 |
Quadratic twists by: -19 |