Atkin-Lehner |
2+ 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25080b |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-26327980800 = -1 · 28 · 39 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 7 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55241,-4978995] |
[a1,a2,a3,a4,a6] |
j |
-72824280745974784/102843675 |
j-invariant |
L |
1.2456426538222 |
L(r)(E,1)/r! |
Ω |
0.15570533172778 |
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 |
50160r1 75240bs1 125400cs1 |
Quadratic twists by: -4 -3 5 |