Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960ch |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
3148791954210000 = 24 · 33 · 54 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1927431,-1029304800] |
[a1,a2,a3,a4,a6] |
j |
1226473344182272/4876875 |
j-invariant |
L |
0.51252484963125 |
L(r)(E,1)/r! |
Ω |
0.12813121064461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960dn1 |
Quadratic twists by: -7 |