Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91872j |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1294843968 = 26 · 37 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309,1172] |
[a1,a2,a3,a4,a6] |
Generators |
[16:18:1] |
Generators of the group modulo torsion |
j |
69934528/27753 |
j-invariant |
L |
9.1529808780437 |
L(r)(E,1)/r! |
Ω |
1.3891110163414 |
Real period |
R |
1.6472731068306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91872v1 30624k1 |
Quadratic twists by: -4 -3 |