Atkin-Lehner |
2+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3872g |
Isogeny class |
Conductor |
3872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-9658153742336 = -1 · 212 · 119 |
Discriminant |
Eigenvalues |
2+ -3 1 0 11- 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,968,-149072] |
[a1,a2,a3,a4,a6] |
j |
13824/1331 |
j-invariant |
L |
1.3805286962546 |
L(r)(E,1)/r! |
Ω |
0.34513217406364 |
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 |
3872f1 7744bi1 34848bv1 96800cd1 |
Quadratic twists by: -4 8 -3 5 |