Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475be |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-815291650916875 = -1 · 54 · 11 · 179 |
Discriminant |
Eigenvalues |
-2 0 5- 3 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-36125,2978506] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-723:1] |
Generators of the group modulo torsion |
j |
-345600000/54043 |
j-invariant |
L |
3.2276598610285 |
L(r)(E,1)/r! |
Ω |
0.48466736519776 |
Real period |
R |
1.1099226979298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79475q1 4675s1 |
Quadratic twists by: 5 17 |