Atkin-Lehner |
2+ 3- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
123624h |
Isogeny class |
Conductor |
123624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3639756939061248 = -1 · 211 · 36 · 176 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24045,-2523058] |
[a1,a2,a3,a4,a6] |
Generators |
[694:18666:1] [758:21242:1] |
Generators of the group modulo torsion |
j |
1029770806750/2437894469 |
j-invariant |
L |
10.602340016929 |
L(r)(E,1)/r! |
Ω |
0.22942456474317 |
Real period |
R |
15.404249956109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999932125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13736d2 |
Quadratic twists by: -3 |