Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7308a |
Isogeny class |
Conductor |
7308 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-74814826147557552 = -1 · 24 · 39 · 710 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17700,-13128631] |
[a1,a2,a3,a4,a6] |
Generators |
[286:3915:1] |
Generators of the group modulo torsion |
j |
52577024000000/6414165479043 |
j-invariant |
L |
4.031537354821 |
L(r)(E,1)/r! |
Ω |
0.16321617257385 |
Real period |
R |
2.0583833142091 |
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 |
29232bj1 116928bg1 2436a1 51156k1 |
Quadratic twists by: -4 8 -3 -7 |