Atkin-Lehner |
2- 3+ 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113652g |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-9909118472110704 = -1 · 24 · 39 · 73 · 113 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53379,-636687] |
[a1,a2,a3,a4,a6] |
Generators |
[28680:608391:125] |
Generators of the group modulo torsion |
j |
53410142589696/31464710893 |
j-invariant |
L |
8.9436023571378 |
L(r)(E,1)/r! |
Ω |
0.23936681239417 |
Real period |
R |
6.2272642563675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113652h1 |
Quadratic twists by: -3 |