Atkin-Lehner |
5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
7285c |
Isogeny class |
Conductor |
7285 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-21024532765625 = -1 · 56 · 315 · 47 |
Discriminant |
Eigenvalues |
-1 -1 5+ -4 -2 3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30341,2033484] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:1970:1] |
Generators of the group modulo torsion |
j |
-3088974179953491409/21024532765625 |
j-invariant |
L |
1.1895230265293 |
L(r)(E,1)/r! |
Ω |
0.68498504893978 |
Real period |
R |
0.17365678687008 |
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 |
116560j1 65565n1 36425d1 |
Quadratic twists by: -4 -3 5 |