Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112bp |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-372666975256576 = -1 · 217 · 76 · 11 · 133 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11- 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5112,937684] |
[a1,a2,a3,a4,a6] |
j |
-30664297/773344 |
j-invariant |
L |
0.89827746562895 |
L(r)(E,1)/r! |
Ω |
0.44913849366363 |
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 |
14014b1 2288l1 |
Quadratic twists by: -4 -7 |