Atkin-Lehner |
3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23925x |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
83200 |
Modular degree for the optimal curve |
Δ |
-993337962890625 = -1 · 313 · 59 · 11 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8826,-1550327] |
[a1,a2,a3,a4,a6] |
Generators |
[977:29886:1] |
Generators of the group modulo torsion |
j |
-38923752869/508589037 |
j-invariant |
L |
6.4066086893164 |
L(r)(E,1)/r! |
Ω |
0.21103968044418 |
Real period |
R |
1.1675909762256 |
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 |
71775cg1 23925k1 |
Quadratic twists by: -3 5 |