Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400cm |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-744000000 = -1 · 29 · 3 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 1 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,192,888] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1362:1] |
Generators of the group modulo torsion |
j |
97336/93 |
j-invariant |
L |
8.768108661804 |
L(r)(E,1)/r! |
Ω |
1.0502604386664 |
Real period |
R |
4.1742544694975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400l1 2976a1 |
Quadratic twists by: -4 5 |