Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232da |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
370412146368 = 26 · 33 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3912,-88218] |
[a1,a2,a3,a4,a6] |
Generators |
[-3838067:6974440:103823] |
Generators of the group modulo torsion |
j |
58411072/3267 |
j-invariant |
L |
5.4136591659867 |
L(r)(E,1)/r! |
Ω |
0.6057627453288 |
Real period |
R |
8.9369298586499 |
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 |
23232dp1 11616bc2 69696gn1 2112s1 |
Quadratic twists by: -4 8 -3 -11 |