Atkin-Lehner |
2- 3+ 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bg |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
520 |
Product of Tamagawa factors cp |
deg |
1830400 |
Modular degree for the optimal curve |
Δ |
-6188851736584298496 = -1 · 213 · 33 · 114 · 13 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11- 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-281192,-132669653] |
[a1,a2,a3,a4,a6] |
Generators |
[701:3433:1] |
Generators of the group modulo torsion |
j |
-91068332000789333763/229216730984603648 |
j-invariant |
L |
12.950051876664 |
L(r)(E,1)/r! |
Ω |
0.096529262607075 |
Real period |
R |
0.25799374424351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682d1 |
Quadratic twists by: -3 |