Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350fr |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-15153868800000000 = -1 · 218 · 36 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-172055,-28057553] |
[a1,a2,a3,a4,a6] |
Generators |
[3203:178046:1] |
Generators of the group modulo torsion |
j |
-1978042764105/53215232 |
j-invariant |
L |
10.908987454141 |
L(r)(E,1)/r! |
Ω |
0.11702092981105 |
Real period |
R |
5.1790295923835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10150g1 91350be1 |
Quadratic twists by: -3 5 |