Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bz |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-17970776788635 = -1 · 36 · 5 · 118 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3993,179352] |
[a1,a2,a3,a4,a6] |
Generators |
[0:423:1] |
Generators of the group modulo torsion |
j |
45056/115 |
j-invariant |
L |
3.8360339420229 |
L(r)(E,1)/r! |
Ω |
0.48279947004199 |
Real period |
R |
1.3242329702007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000022073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915c1 125235by1 |
Quadratic twists by: -3 -11 |