Atkin-Lehner |
2- 3- 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830cu |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
12042240 |
Modular degree for the optimal curve |
Δ |
2.9040902105933E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77299367,-261563896609] |
[a1,a2,a3,a4,a6] |
Generators |
[-5069:3294:1] |
Generators of the group modulo torsion |
j |
70068688883176018401206569/398366284032000000 |
j-invariant |
L |
12.632377207896 |
L(r)(E,1)/r! |
Ω |
0.050916168949133 |
Real period |
R |
1.4767945656911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610p1 |
Quadratic twists by: -3 |