Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650a |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-1697932800 = -1 · 29 · 33 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-357,-3179] |
[a1,a2,a3,a4,a6] |
Generators |
[23:8:1] |
Generators of the group modulo torsion |
j |
-7466356035/2515456 |
j-invariant |
L |
3.2226790323845 |
L(r)(E,1)/r! |
Ω |
0.53988397748837 |
Real period |
R |
2.9846033284568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200dd1 7650bn2 7650bt1 |
Quadratic twists by: -4 -3 5 |