Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304p |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-143470308868096 = -1 · 214 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25104,1644224] |
[a1,a2,a3,a4,a6] |
Generators |
[104:384:1] |
Generators of the group modulo torsion |
j |
-3630961153/297724 |
j-invariant |
L |
6.732351453428 |
L(r)(E,1)/r! |
Ω |
0.56879553109618 |
Real period |
R |
2.9590384792816 |
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 |
3038l1 97216bv1 3472g1 |
Quadratic twists by: -4 8 -7 |