Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800o |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-154800 = -1 · 24 · 32 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 1 5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3,18] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
-10240/387 |
j-invariant |
L |
7.4763944240003 |
L(r)(E,1)/r! |
Ω |
2.7000253645142 |
Real period |
R |
0.69225223976234 |
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 |
51600d1 77400bl1 25800z1 |
Quadratic twists by: -4 -3 5 |