Atkin-Lehner |
2+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19504a |
Isogeny class |
Conductor |
19504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2903697008 = -1 · 24 · 23 · 534 |
Discriminant |
Eigenvalues |
2+ 1 0 -2 -4 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-228,-2989] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1325:1] [2449:121217:1] |
Generators of the group modulo torsion |
j |
-82283296000/181481063 |
j-invariant |
L |
7.7228240284289 |
L(r)(E,1)/r! |
Ω |
0.57484864472868 |
Real period |
R |
3.358633659158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9752b1 78016k1 |
Quadratic twists by: -4 8 |