Atkin-Lehner |
3+ 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44289b |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
106560 |
Modular degree for the optimal curve |
Δ |
-23704728260283 = -1 · 33 · 7 · 195 · 373 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,225,234244] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-542:1] |
Generators of the group modulo torsion |
j |
46656000000/877952898529 |
j-invariant |
L |
3.0627200078613 |
L(r)(E,1)/r! |
Ω |
0.53252007574466 |
Real period |
R |
0.57513700372364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44289a1 |
Quadratic twists by: -3 |