Atkin-Lehner |
3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13725i |
Isogeny class |
Conductor |
13725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-9.0851845035978E+20 |
Discriminant |
Eigenvalues |
0 3- 5- -1 4 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1115250,1377516406] |
[a1,a2,a3,a4,a6] |
Generators |
[-269150:1503391:343] |
Generators of the group modulo torsion |
j |
107741456072704/638081545383 |
j-invariant |
L |
3.5682823899937 |
L(r)(E,1)/r! |
Ω |
0.11385954821592 |
Real period |
R |
7.8348334546938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4575c1 13725h1 |
Quadratic twists by: -3 5 |