Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91872b |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3214785024 = -1 · 29 · 39 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 11+ 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,-2538] |
[a1,a2,a3,a4,a6] |
Generators |
[13:46:1] |
Generators of the group modulo torsion |
j |
74088/319 |
j-invariant |
L |
7.1544014768659 |
L(r)(E,1)/r! |
Ω |
0.71634674456945 |
Real period |
R |
2.4968360398023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91872q1 91872s1 |
Quadratic twists by: -4 -3 |