Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688d |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-2.036577537478E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 1 -4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-620849,-287188515] |
[a1,a2,a3,a4,a6] |
Generators |
[3147676171836328604:43063686335909848843:3011749660252997] |
Generators of the group modulo torsion |
j |
-21764027392/16747803 |
j-invariant |
L |
4.5088889306819 |
L(r)(E,1)/r! |
Ω |
0.082303449138481 |
Real period |
R |
27.391858894609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40344f1 1968d1 |
Quadratic twists by: -4 41 |