Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600d |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4308480 |
Modular degree for the optimal curve |
Δ |
-3.81987525942E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3604792,-1380573588] |
[a1,a2,a3,a4,a6] |
Generators |
[73433639731292:5340542427177111:16079333824] |
Generators of the group modulo torsion |
j |
109850/81 |
j-invariant |
L |
6.1405287506549 |
L(r)(E,1)/r! |
Ω |
0.078290174712482 |
Real period |
R |
19.608235558312 |
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 |
72600ei1 72600ci1 |
Quadratic twists by: 5 -11 |