Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7176c |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
51230165763658752 = 210 · 316 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24796064,-47516746500] |
[a1,a2,a3,a4,a6] |
Generators |
[5627363:-682685172:343] |
Generators of the group modulo torsion |
j |
1646538988508182476100228/50029458753573 |
j-invariant |
L |
2.4707274487409 |
L(r)(E,1)/r! |
Ω |
0.067655618217684 |
Real period |
R |
6.0865293817662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14352n3 57408bk4 21528m4 93288bc4 |
Quadratic twists by: -4 8 -3 13 |