Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10575j |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
200759765625 = 37 · 59 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82692,-9131909] |
[a1,a2,a3,a4,a6] |
Generators |
[39915675130:-1482580042301:28372625] |
Generators of the group modulo torsion |
j |
5489965305721/17625 |
j-invariant |
L |
4.983887465664 |
L(r)(E,1)/r! |
Ω |
0.28153572915533 |
Real period |
R |
17.702504334412 |
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 |
3525b1 2115e1 |
Quadratic twists by: -3 5 |