Atkin-Lehner |
7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44891m |
Isogeny class |
Conductor |
44891 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-315562112996130539 = -1 · 78 · 117 · 532 |
Discriminant |
Eigenvalues |
-2 -3 -1 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-215743,47097102] |
[a1,a2,a3,a4,a6] |
Generators |
[825:20751:1] [220:-3207:1] |
Generators of the group modulo torsion |
j |
-626870368456704/178126586099 |
j-invariant |
L |
2.7331049911089 |
L(r)(E,1)/r! |
Ω |
0.29001611556187 |
Real period |
R |
0.14724962922604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4081b1 |
Quadratic twists by: -11 |