Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498n |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
166400 |
Modular degree for the optimal curve |
Δ |
-44300422914048 = -1 · 213 · 311 · 73 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6858,232308] |
[a1,a2,a3,a4,a6] |
Generators |
[93:1245:1] |
Generators of the group modulo torsion |
j |
142645765625/177168384 |
j-invariant |
L |
5.1592628412461 |
L(r)(E,1)/r! |
Ω |
0.42927608163001 |
Real period |
R |
3.004629807546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166x1 78498u1 |
Quadratic twists by: -3 -7 |