Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152p |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
5779950426432 = 26 · 310 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4818,54900] |
[a1,a2,a3,a4,a6] |
Generators |
[6:162:1] |
Generators of the group modulo torsion |
j |
1643032000/767637 |
j-invariant |
L |
8.5249165382465 |
L(r)(E,1)/r! |
Ω |
0.67809543413416 |
Real period |
R |
1.2571853619766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152b1 122304fx2 1248b1 |
Quadratic twists by: -4 8 -7 |