Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2340i |
Isogeny class |
Conductor |
2340 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-153754848000 = -1 · 28 · 37 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1992,39076] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:234:1] |
Generators of the group modulo torsion |
j |
-4684079104/823875 |
j-invariant |
L |
3.2092956093345 |
L(r)(E,1)/r! |
Ω |
0.98730558381938 |
Real period |
R |
0.270879963773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9360ca2 37440be2 780d2 11700h2 |
Quadratic twists by: -4 8 -3 5 |