Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560w |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-15272949841920000 = -1 · 225 · 39 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 1 1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,59508,-2033424] |
[a1,a2,a3,a4,a6] |
Generators |
[72:1620:1] |
Generators of the group modulo torsion |
j |
4516672077/2960000 |
j-invariant |
L |
7.4207691796804 |
L(r)(E,1)/r! |
Ω |
0.22447139170611 |
Real period |
R |
2.0661789836967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560dz1 3330a1 106560j1 |
Quadratic twists by: -4 8 -3 |