Atkin-Lehner |
2+ 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57040a |
Isogeny class |
Conductor |
57040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-20172081920 = -1 · 28 · 5 · 232 · 313 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 2 2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1265,-19045] |
[a1,a2,a3,a4,a6] |
j |
-875182437376/78797195 |
j-invariant |
L |
3.1855579103771 |
L(r)(E,1)/r! |
Ω |
0.39819473911175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28520c1 |
Quadratic twists by: -4 |