Atkin-Lehner |
2+ 3+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
11454a |
Isogeny class |
Conductor |
11454 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109312 |
Modular degree for the optimal curve |
Δ |
-17931415446355968 = -1 · 232 · 37 · 23 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,65134,783156] |
[a1,a2,a3,a4,a6] |
Generators |
[7973999547785136:-196568293840836427:47218114473984] |
Generators of the group modulo torsion |
j |
30558817390119741143/17931415446355968 |
j-invariant |
L |
3.1658402649583 |
L(r)(E,1)/r! |
Ω |
0.23549316092334 |
Real period |
R |
26.886897713254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91632t1 34362i1 |
Quadratic twists by: -4 -3 |