Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248bp |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-22076719104 = -1 · 221 · 3 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 11+ 4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,-8063] |
[a1,a2,a3,a4,a6] |
Generators |
[39:176:1] |
Generators of the group modulo torsion |
j |
-47045881/84216 |
j-invariant |
L |
4.0211665782091 |
L(r)(E,1)/r! |
Ω |
0.48082479277335 |
Real period |
R |
2.0907649930999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248bd1 15312u1 |
Quadratic twists by: -4 8 |