Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fi |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-12320000000000 = -1 · 214 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30833,-2080463] |
[a1,a2,a3,a4,a6] |
Generators |
[4712102123:29542487104:21253933] |
Generators of the group modulo torsion |
j |
-20261200/77 |
j-invariant |
L |
5.8828106530057 |
L(r)(E,1)/r! |
Ω |
0.18010080258219 |
Real period |
R |
16.331994306167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000150249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200q1 30800br1 123200gs1 |
Quadratic twists by: -4 8 5 |