Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184bb |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-27918729216 = -1 · 217 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -6 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178659,-29066014] |
[a1,a2,a3,a4,a6] |
Generators |
[3223:181314:1] |
Generators of the group modulo torsion |
j |
-5702623460245179/252448 |
j-invariant |
L |
3.2085844737366 |
L(r)(E,1)/r! |
Ω |
0.11610831785293 |
Real period |
R |
6.9086016684026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2898b1 92736df1 23184w2 |
Quadratic twists by: -4 8 -3 |