Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cx |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
4485242880000 = 216 · 32 · 54 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 -3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21263,1180181] |
[a1,a2,a3,a4,a6] |
Generators |
[105:292:1] [-125:1442:1] |
Generators of the group modulo torsion |
j |
139808984375/589824 |
j-invariant |
L |
12.254349716553 |
L(r)(E,1)/r! |
Ω |
0.77873955368651 |
Real period |
R |
0.081959029569816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350bj1 79350cu1 |
Quadratic twists by: 5 -23 |