Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112bc |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
-692787907001974784 = -1 · 217 · 76 · 112 · 135 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11+ 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219504,5996992] |
[a1,a2,a3,a4,a6] |
Generators |
[34:3674:1] |
Generators of the group modulo torsion |
j |
2427173723519/1437646496 |
j-invariant |
L |
3.0136188176065 |
L(r)(E,1)/r! |
Ω |
0.17447589757554 |
Real period |
R |
4.3181019322009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999198065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14014h1 2288e1 |
Quadratic twists by: -4 -7 |