Atkin-Lehner |
2+ 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23088b |
Isogeny class |
Conductor |
23088 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-367932582970737408 = -1 · 28 · 313 · 13 · 375 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -1 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32447,-29107811] |
[a1,a2,a3,a4,a6] |
j |
14756861742464000/1437236652229443 |
j-invariant |
L |
0.71640561376656 |
L(r)(E,1)/r! |
Ω |
0.14328112275331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11544e1 92352ch1 69264f1 |
Quadratic twists by: -4 8 -3 |