Atkin-Lehner |
2- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23650m |
Isogeny class |
Conductor |
23650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-6503750000 = -1 · 24 · 57 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-255,4247] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:80:1] |
Generators of the group modulo torsion |
j |
-116930169/416240 |
j-invariant |
L |
7.9054933683708 |
L(r)(E,1)/r! |
Ω |
1.1694406358578 |
Real period |
R |
0.84500798137694 |
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 |
4730a1 |
Quadratic twists by: 5 |