Atkin-Lehner |
2- 3+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900o |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2808000 |
Modular degree for the optimal curve |
Δ |
-875442759300000000 = -1 · 28 · 313 · 58 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8261708,-9137498088] |
[a1,a2,a3,a4,a6] |
Generators |
[773682219:152966252042:19683] |
Generators of the group modulo torsion |
j |
-623639031761763280/8754427593 |
j-invariant |
L |
4.2197656442303 |
L(r)(E,1)/r! |
Ω |
0.04452477449057 |
Real period |
R |
15.795571818912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96900x1 |
Quadratic twists by: 5 |