Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800i |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-1514700800 = -1 · 215 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 3 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14753,694657] |
[a1,a2,a3,a4,a6] |
Generators |
[93:344:1] |
Generators of the group modulo torsion |
j |
-433515103880/1849 |
j-invariant |
L |
3.9811146445639 |
L(r)(E,1)/r! |
Ω |
1.3287453196557 |
Real period |
R |
0.37451821889216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bd1 34400bd1 68800cf1 |
Quadratic twists by: -4 8 5 |