Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37752b |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
185856 |
Modular degree for the optimal curve |
Δ |
-5085017945339904 = -1 · 211 · 34 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36824,4390476] |
[a1,a2,a3,a4,a6] |
Generators |
[7705:191664:125] |
Generators of the group modulo torsion |
j |
-1143574/1053 |
j-invariant |
L |
6.207697932478 |
L(r)(E,1)/r! |
Ω |
0.39377271609154 |
Real period |
R |
3.9411681401486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75504k1 113256bk1 37752o1 |
Quadratic twists by: -4 -3 -11 |