Atkin-Lehner |
2- 3+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900n |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-2098854000 = -1 · 24 · 32 · 53 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -2 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34898,-2497683] |
[a1,a2,a3,a4,a6] |
Generators |
[14468:67575:64] |
Generators of the group modulo torsion |
j |
-2350215986180864/1049427 |
j-invariant |
L |
5.0497996121814 |
L(r)(E,1)/r! |
Ω |
0.17464991385053 |
Real period |
R |
7.2284599231666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96900bo1 |
Quadratic twists by: 5 |