Atkin-Lehner |
3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075n |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-36386457839296875 = -1 · 33 · 57 · 297 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-238283,45621719] |
[a1,a2,a3,a4,a6] |
Generators |
[163:3337:1] [309:1261:1] |
Generators of the group modulo torsion |
j |
-160989184/3915 |
j-invariant |
L |
9.4328340150644 |
L(r)(E,1)/r! |
Ω |
0.3654679570689 |
Real period |
R |
0.53771437827356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12615a1 2175a1 |
Quadratic twists by: 5 29 |