Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400ed |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-4.438595232E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14041875,-20255368750] |
[a1,a2,a3,a4,a6] |
Generators |
[34935364398140581:1944825265467901008:5821314532669] |
Generators of the group modulo torsion |
j |
-10500536779225/1522152 |
j-invariant |
L |
7.9855172388858 |
L(r)(E,1)/r! |
Ω |
0.038995052231878 |
Real period |
R |
25.597854028381 |
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 |
13050k1 34800cg1 104400fu1 |
Quadratic twists by: -4 -3 5 |