Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23712s |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-948811968 = -1 · 26 · 35 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,242,-244] |
[a1,a2,a3,a4,a6] |
Generators |
[14:78:1] |
Generators of the group modulo torsion |
j |
24389000000/14825187 |
j-invariant |
L |
6.4402825281918 |
L(r)(E,1)/r! |
Ω |
0.90991612825565 |
Real period |
R |
0.70778858932175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23712d1 47424b2 71136o1 |
Quadratic twists by: -4 8 -3 |