Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ey |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1931973120000 = 212 · 34 · 54 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4933,117037] |
[a1,a2,a3,a4,a6] |
Generators |
[28:9:1] |
Generators of the group modulo torsion |
j |
5186867200/754677 |
j-invariant |
L |
4.5311702505643 |
L(r)(E,1)/r! |
Ω |
0.79784873409155 |
Real period |
R |
2.8396173740549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5775ba1 92400gw1 |
Quadratic twists by: -4 5 |