Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hq |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-738824683520000 = -1 · 220 · 54 · 7 · 115 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32033,2554463] |
[a1,a2,a3,a4,a6] |
Generators |
[263:3520:1] |
Generators of the group modulo torsion |
j |
-22187592025/4509428 |
j-invariant |
L |
7.4968881539359 |
L(r)(E,1)/r! |
Ω |
0.48517957210001 |
Real period |
R |
0.25752966865143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200cn1 30800cs1 123200eo2 |
Quadratic twists by: -4 8 5 |