Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75348n |
Isogeny class |
Conductor |
75348 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-746444305152 = -1 · 28 · 37 · 73 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 13- 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,816,-40588] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2457:1] |
Generators of the group modulo torsion |
j |
321978368/3999723 |
j-invariant |
L |
8.6692872421879 |
L(r)(E,1)/r! |
Ω |
0.4417852089782 |
Real period |
R |
1.6352756697545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25116e1 |
Quadratic twists by: -3 |