Atkin-Lehner |
2- 79- |
Signs for the Atkin-Lehner involutions |
Class |
12482g |
Isogeny class |
Conductor |
12482 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
2.0136758069071E+19 |
Discriminant |
Eigenvalues |
2- 1 1 -3 2 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2621350,-1619450396] |
[a1,a2,a3,a4,a6] |
Generators |
[-24828:112270:27] |
Generators of the group modulo torsion |
j |
8194759433281/82837504 |
j-invariant |
L |
7.9608069608212 |
L(r)(E,1)/r! |
Ω |
0.11872260280569 |
Real period |
R |
1.676346115375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99856h1 112338g1 158c1 |
Quadratic twists by: -4 -3 -79 |