Atkin-Lehner |
3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61605n |
Isogeny class |
Conductor |
61605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-44865134955 = -1 · 311 · 5 · 373 |
Discriminant |
Eigenvalues |
0 3- 5- -4 2 -5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,888,342] |
[a1,a2,a3,a4,a6] |
Generators |
[0:18:1] [26:202:1] |
Generators of the group modulo torsion |
j |
2097152/1215 |
j-invariant |
L |
8.0852730887042 |
L(r)(E,1)/r! |
Ω |
0.68224456553759 |
Real period |
R |
1.4813736702935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20535d1 61605h1 |
Quadratic twists by: -3 37 |