Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520dc |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
-7.2032635727538E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-98800,-408548652] |
[a1,a2,a3,a4,a6] |
Generators |
[1668:63798:1] |
Generators of the group modulo torsion |
j |
-221335335649/149479321600 |
j-invariant |
L |
3.7486578507289 |
L(r)(E,1)/r! |
Ω |
0.087523798438437 |
Real period |
R |
1.7845898069103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999077046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190be1 17360s1 |
Quadratic twists by: -4 -7 |