Atkin-Lehner |
2- 3- 11- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682by |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-446828808830976 = -1 · 216 · 38 · 11 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14098,783357] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-1437:1] |
Generators of the group modulo torsion |
j |
425106340192871/612933894144 |
j-invariant |
L |
11.59695574408 |
L(r)(E,1)/r! |
Ω |
0.35775873528962 |
Real period |
R |
0.1688311287063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894c1 |
Quadratic twists by: -3 |