Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342be |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-9478656 = -1 · 29 · 32 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- -6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-250,1508] |
[a1,a2,a3,a4,a6] |
Generators |
[8:2:1] |
Generators of the group modulo torsion |
j |
-14284562281/78336 |
j-invariant |
L |
8.4651654195116 |
L(r)(E,1)/r! |
Ω |
2.3147557333365 |
Real period |
R |
0.20316915559499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736cl1 37026h1 12342i1 |
Quadratic twists by: -4 -3 -11 |