Atkin-Lehner |
2- 3- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
23634m |
Isogeny class |
Conductor |
23634 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-6388803119924379648 = -1 · 224 · 37 · 132 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,419800,-61980181] |
[a1,a2,a3,a4,a6] |
Generators |
[1317:52009:1] |
Generators of the group modulo torsion |
j |
11223400388784050375/8763790287962112 |
j-invariant |
L |
8.9904906534286 |
L(r)(E,1)/r! |
Ω |
0.13247522065647 |
Real period |
R |
4.2415907145111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7878b3 |
Quadratic twists by: -3 |