Atkin-Lehner |
2+ 3+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544b |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-71567656704 = -1 · 28 · 33 · 234 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2079,-38690] |
[a1,a2,a3,a4,a6] |
Generators |
[24586281258:-293184638830:156590819] |
Generators of the group modulo torsion |
j |
-143775024624/10354117 |
j-invariant |
L |
10.320035105635 |
L(r)(E,1)/r! |
Ω |
0.35205416466273 |
Real period |
R |
14.65688528863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61272i1 122544e1 |
Quadratic twists by: -4 -3 |