Atkin-Lehner |
2- 3- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530bl |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
13400186400000 = 28 · 39 · 55 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47485,3974897] |
[a1,a2,a3,a4,a6] |
Generators |
[104:-457:1] |
Generators of the group modulo torsion |
j |
11841142586841545041/13400186400000 |
j-invariant |
L |
9.1913077518865 |
L(r)(E,1)/r! |
Ω |
0.70476537322636 |
Real period |
R |
0.03622682298511 |
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 |
76590s1 127650i1 |
Quadratic twists by: -3 5 |