Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23856k |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
15028669594810368 = 211 · 316 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110192,-12820812] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:420:1] |
Generators of the group modulo torsion |
j |
72251671383620066/7338217575591 |
j-invariant |
L |
7.2074850198697 |
L(r)(E,1)/r! |
Ω |
0.26375275131524 |
Real period |
R |
1.7079170226492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11928g3 95424bw3 71568t3 |
Quadratic twists by: -4 8 -3 |