Atkin-Lehner |
2- 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
101332h |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-35860198271744 = -1 · 28 · 78 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11- -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4051,-269137] |
[a1,a2,a3,a4,a6] |
j |
244047872/1190651 |
j-invariant |
L |
3.9375902873471 |
L(r)(E,1)/r! |
Ω |
0.32813251780984 |
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 |
14476b1 |
Quadratic twists by: -7 |