Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655bk |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4492800 |
Modular degree for the optimal curve |
Δ |
-3.2154797303508E+19 |
Discriminant |
Eigenvalues |
-2 3- 5- 4 11- 13- -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1825707,-987917850] |
[a1,a2,a3,a4,a6] |
Generators |
[2028:60417:1] |
Generators of the group modulo torsion |
j |
-87056109568/4159375 |
j-invariant |
L |
4.6979204208283 |
L(r)(E,1)/r! |
Ω |
0.064759402221293 |
Real period |
R |
1.2090703606951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9295a1 83655n1 |
Quadratic twists by: -3 13 |