Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cg |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-17212845009375000 = -1 · 23 · 39 · 58 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,32787,-5870469] |
[a1,a2,a3,a4,a6] |
Generators |
[765:21242:1] |
Generators of the group modulo torsion |
j |
891449111/3936600 |
j-invariant |
L |
9.2370149085557 |
L(r)(E,1)/r! |
Ω |
0.19680202223245 |
Real period |
R |
3.911297422764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870l1 79350ck1 |
Quadratic twists by: 5 -23 |