Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646bb |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
509184 |
Modular degree for the optimal curve |
Δ |
233925050026494 = 2 · 36 · 178 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30399,-1895113] |
[a1,a2,a3,a4,a6] |
Generators |
[217:1192:1] |
Generators of the group modulo torsion |
j |
610929/46 |
j-invariant |
L |
3.8328956081772 |
L(r)(E,1)/r! |
Ω |
0.36328454205051 |
Real period |
R |
0.8792225697707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999601912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13294l1 119646x1 |
Quadratic twists by: -3 17 |