Atkin-Lehner |
2+ 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350c |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-100292968750 = -1 · 2 · 511 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 1 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-650,16250] |
[a1,a2,a3,a4,a6] |
j |
-1948441249/6418750 |
j-invariant |
L |
1.8661866447487 |
L(r)(E,1)/r! |
Ω |
0.93309332221153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10270d1 |
Quadratic twists by: 5 |