Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310bf |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-188050161600 = -1 · 26 · 33 · 52 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13718,622181] |
[a1,a2,a3,a4,a6] |
j |
-10573107872551587/6964820800 |
j-invariant |
L |
3.9971665127741 |
L(r)(E,1)/r! |
Ω |
0.99929162819353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
23310f3 116550a1 |
Quadratic twists by: -3 5 |