Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350bl |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-41976150000000 = -1 · 27 · 3 · 58 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276,311698] |
[a1,a2,a3,a4,a6] |
Generators |
[22:551:1] |
Generators of the group modulo torsion |
j |
-529/9600 |
j-invariant |
L |
4.6884142559512 |
L(r)(E,1)/r! |
Ω |
0.51399476192304 |
Real period |
R |
2.2803803661457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870x1 79350bi1 |
Quadratic twists by: 5 -23 |