Atkin-Lehner |
2- 3- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450cz |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-11483136000 = -1 · 214 · 32 · 53 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-273,-5463] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-261:1] |
Generators of the group modulo torsion |
j |
-18005329061/91865088 |
j-invariant |
L |
12.470185795851 |
L(r)(E,1)/r! |
Ω |
0.52963421302775 |
Real period |
R |
0.42044468346768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450v1 |
Quadratic twists by: 5 |