Atkin-Lehner |
11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60401l |
Isogeny class |
Conductor |
60401 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
319872 |
Modular degree for the optimal curve |
Δ |
-2998968808732633 = -1 · 113 · 179 · 19 |
Discriminant |
Eigenvalues |
-1 -2 -4 2 11- 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,22825,2277946] |
[a1,a2,a3,a4,a6] |
Generators |
[891:26576:1] |
Generators of the group modulo torsion |
j |
11089567/25289 |
j-invariant |
L |
1.9757921364144 |
L(r)(E,1)/r! |
Ω |
0.3134414483716 |
Real period |
R |
1.0505907599646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60401c1 |
Quadratic twists by: 17 |