Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400gg |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1178727634944000 = -1 · 214 · 313 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23685,871850] |
[a1,a2,a3,a4,a6] |
Generators |
[55:1530:1] |
Generators of the group modulo torsion |
j |
3936827539/3158028 |
j-invariant |
L |
6.8108107698468 |
L(r)(E,1)/r! |
Ω |
0.31390805040179 |
Real period |
R |
2.7121042138534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550bk1 22800cp1 68400gh1 |
Quadratic twists by: -4 -3 5 |