Atkin-Lehner |
3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
78897i |
Isogeny class |
Conductor |
78897 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
225216 |
Modular degree for the optimal curve |
Δ |
-51418308097611 = -1 · 34 · 7 · 13 · 178 |
Discriminant |
Eigenvalues |
-1 3- -3 7+ 0 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21392,-1254501] |
[a1,a2,a3,a4,a6] |
Generators |
[313:4612:1] |
Generators of the group modulo torsion |
j |
-155198593/7371 |
j-invariant |
L |
3.272357199026 |
L(r)(E,1)/r! |
Ω |
0.19683604635391 |
Real period |
R |
1.3853988556754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78897e1 |
Quadratic twists by: 17 |