Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102312a |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
-33510742094592 = -1 · 28 · 33 · 78 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4116,-259308] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2842:1] |
Generators of the group modulo torsion |
j |
193536/841 |
j-invariant |
L |
8.1265577453977 |
L(r)(E,1)/r! |
Ω |
0.33124768053902 |
Real period |
R |
0.51110783922152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102312u1 102312d1 |
Quadratic twists by: -3 -7 |