Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235by |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-10144035 = -1 · 36 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2 3- 5- 0 11- -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,33,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[930:10035:8] |
Generators of the group modulo torsion |
j |
45056/115 |
j-invariant |
L |
14.567874983832 |
L(r)(E,1)/r! |
Ω |
1.1806726784494 |
Real period |
R |
6.1693113821147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000134825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915d1 125235bz1 |
Quadratic twists by: -3 -11 |