Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746z |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
-21549532032 = -1 · 27 · 33 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 1 2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-524,-8305] |
[a1,a2,a3,a4,a6] |
j |
-5000211/6784 |
j-invariant |
L |
6.6538014884888 |
L(r)(E,1)/r! |
Ω |
0.47527153491313 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46746b1 954h1 |
Quadratic twists by: -3 -7 |