Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200bx |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-8001504000 = -1 · 28 · 36 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,4300] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:5:1] |
Generators of the group modulo torsion |
j |
1024/343 |
j-invariant |
L |
5.0878853957594 |
L(r)(E,1)/r! |
Ω |
1.0187706235827 |
Real period |
R |
2.4970711159039 |
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 |
12600cj1 100800oj1 2800j1 25200cf1 |
Quadratic twists by: -4 8 -3 5 |