Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580y |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3265920 |
Modular degree for the optimal curve |
Δ |
-1.6013508306998E+19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5907260,5531530600] |
[a1,a2,a3,a4,a6] |
Generators |
[9690:98615:8] |
Generators of the group modulo torsion |
j |
-177953104/125 |
j-invariant |
L |
5.9929073942609 |
L(r)(E,1)/r! |
Ω |
0.21837423499656 |
Real period |
R |
4.5738816475933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999327755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118580a1 980f1 |
Quadratic twists by: -7 -11 |