Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506c |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
900341542745086464 = 29 · 37 · 1110 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 11- -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-915367,333599413] |
[a1,a2,a3,a4,a6] |
j |
3270268089121/34712064 |
j-invariant |
L |
0.28133783016523 |
L(r)(E,1)/r! |
Ω |
0.28133783016524 |
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 |
67518bl1 22506w1 |
Quadratic twists by: -3 -11 |