Atkin-Lehner |
3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545m |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-4500767046357421875 = -1 · 35 · 510 · 79 · 47 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 1 -2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-50780,102182681] |
[a1,a2,a3,a4,a6] |
Generators |
[-3670:42871:8] |
Generators of the group modulo torsion |
j |
-123089813622784/38255888671875 |
j-invariant |
L |
10.548544074727 |
L(r)(E,1)/r! |
Ω |
0.19921724453517 |
Real period |
R |
1.3237488676419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103635bb1 4935f1 |
Quadratic twists by: -3 -7 |