Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960q |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1270080 |
Modular degree for the optimal curve |
Δ |
-730653763588182000 = -1 · 24 · 37 · 53 · 76 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,103080,-39137643] |
[a1,a2,a3,a4,a6] |
Generators |
[254:1835:1] |
Generators of the group modulo torsion |
j |
64347918907136/388153407375 |
j-invariant |
L |
4.1650290416726 |
L(r)(E,1)/r! |
Ω |
0.14260025263951 |
Real period |
R |
4.8679542656091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2040g1 |
Quadratic twists by: -7 |