Atkin-Lehner |
2+ 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25800f |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8256 |
Modular degree for the optimal curve |
Δ |
-61920000 = -1 · 28 · 32 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -3 -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,3637] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-30:1] [13:6:1] |
Generators of the group modulo torsion |
j |
-56243200/387 |
j-invariant |
L |
6.4163851308074 |
L(r)(E,1)/r! |
Ω |
1.9796377268748 |
Real period |
R |
0.13504964914584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600bi1 77400bu1 25800bi1 |
Quadratic twists by: -4 -3 5 |