Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152b |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
8 |
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] |
j |
1643032000/767637 |
j-invariant |
L |
1.1990417001692 |
L(r)(E,1)/r! |
Ω |
0.59952085076141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61152p1 122304hw2 1248d1 |
Quadratic twists by: -4 8 -7 |