Atkin-Lehner |
2+ 3- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690k |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
62995304448000 = 215 · 36 · 53 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 5 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12390,-365644] |
[a1,a2,a3,a4,a6] |
j |
288555807609441/86413312000 |
j-invariant |
L |
0.92596740658091 |
L(r)(E,1)/r! |
Ω |
0.46298369429091 |
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 |
12410p1 |
Quadratic twists by: -3 |