Atkin-Lehner |
2+ 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226k |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
2656005235128 = 23 · 36 · 78 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 3 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23546,1386452] |
[a1,a2,a3,a4,a6] |
Generators |
[138:808:1] |
Generators of the group modulo torsion |
j |
250417281625/460728 |
j-invariant |
L |
4.8718579562141 |
L(r)(E,1)/r! |
Ω |
0.81004898888096 |
Real period |
R |
3.0071378540601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69678x1 23226e1 |
Quadratic twists by: -3 -7 |