Atkin-Lehner |
2+ 3+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646b |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1777152 |
Modular degree for the optimal curve |
Δ |
-903669698745335808 = -1 · 226 · 33 · 112 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 11+ 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,77946,-44982476] |
[a1,a2,a3,a4,a6] |
Generators |
[297:1925:1] |
Generators of the group modulo torsion |
j |
1939716737767901637/33469248101679104 |
j-invariant |
L |
2.6720449552303 |
L(r)(E,1)/r! |
Ω |
0.13653055045815 |
Real period |
R |
1.6309200552243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74646bb1 |
Quadratic twists by: -3 |