Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968f |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-575309076443136 = -1 · 212 · 35 · 76 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -5 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10845,1236789] |
[a1,a2,a3,a4,a6] |
j |
-292754944/1193859 |
j-invariant |
L |
1.8037209566463 |
L(r)(E,1)/r! |
Ω |
0.45093021532386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968ci1 1632d1 |
Quadratic twists by: -4 -7 |