Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960bj |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5916548136960 = -1 · 222 · 38 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3963,-151382] |
[a1,a2,a3,a4,a6] |
j |
-2305199161/1981440 |
j-invariant |
L |
1.1614845955553 |
L(r)(E,1)/r! |
Ω |
0.29037114888956 |
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 |
3870p1 123840fs1 10320be1 |
Quadratic twists by: -4 8 -3 |