Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360de |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-6632550000 = -1 · 24 · 33 · 55 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-946,11555] |
[a1,a2,a3,a4,a6] |
Generators |
[11:51:1] |
Generators of the group modulo torsion |
j |
-1192310528/84375 |
j-invariant |
L |
7.6574440221528 |
L(r)(E,1)/r! |
Ω |
1.3107200526151 |
Real period |
R |
0.97369431990407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340a1 69360cv1 |
Quadratic twists by: -4 17 |