Atkin-Lehner |
3+ 7+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
23793a |
Isogeny class |
Conductor |
23793 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
132674190666633 = 37 · 72 · 11 · 1034 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28094,-1737417] |
[a1,a2,a3,a4,a6] |
Generators |
[-26241666:92824499:287496] |
Generators of the group modulo torsion |
j |
2452384712863090153/132674190666633 |
j-invariant |
L |
6.3094773193935 |
L(r)(E,1)/r! |
Ω |
0.37000261496619 |
Real period |
R |
8.5262604427404 |
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 |
71379b1 |
Quadratic twists by: -3 |