Atkin-Lehner |
3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41925o |
Isogeny class |
Conductor |
41925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-36203243044921875 = -1 · 33 · 59 · 135 · 432 |
Discriminant |
Eigenvalues |
2 3- 5- 3 -3 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,25542,9027119] |
[a1,a2,a3,a4,a6] |
Generators |
[-1286:7121:8] |
Generators of the group modulo torsion |
j |
943498842112/18536060439 |
j-invariant |
L |
15.66761893909 |
L(r)(E,1)/r! |
Ω |
0.27346214267182 |
Real period |
R |
4.774463107888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125775bg1 41925g1 |
Quadratic twists by: -3 5 |