Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96200u |
Isogeny class |
Conductor |
96200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
1171912873300000000 = 28 · 58 · 132 · 375 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -1 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-264633,5814637] |
[a1,a2,a3,a4,a6] |
Generators |
[12:1625:1] |
Generators of the group modulo torsion |
j |
512386126867456/292978218325 |
j-invariant |
L |
6.3060463442005 |
L(r)(E,1)/r! |
Ω |
0.2347527741993 |
Real period |
R |
3.3578124668052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19240e1 |
Quadratic twists by: 5 |