Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25480c |
Isogeny class |
Conductor |
25480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1316108680140800 = -1 · 211 · 52 · 711 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41176,3645424] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:1960:1] |
Generators of the group modulo torsion |
j |
-32044133522/5462275 |
j-invariant |
L |
5.7108666290378 |
L(r)(E,1)/r! |
Ω |
0.46463811726945 |
Real period |
R |
3.0727497469423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50960e1 127400bk1 3640e1 |
Quadratic twists by: -4 5 -7 |