Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080el |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
817152 |
Modular degree for the optimal curve |
Δ |
-18003121845534720 = -1 · 215 · 313 · 5 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94188,-12863248] |
[a1,a2,a3,a4,a6] |
Generators |
[5702:429928:1] |
Generators of the group modulo torsion |
j |
-3868414248392/753651135 |
j-invariant |
L |
7.6810009264781 |
L(r)(E,1)/r! |
Ω |
0.13484183955478 |
Real period |
R |
7.1203799000975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999140918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080em1 59040bs1 39360ce1 |
Quadratic twists by: -4 8 -3 |