Atkin-Lehner |
2- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
116200r |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3985920 |
Modular degree for the optimal curve |
Δ |
-498207500000000 = -1 · 28 · 510 · 74 · 83 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -4 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6844375,6892056250] |
[a1,a2,a3,a4,a6] |
Generators |
[1509:-98:1] |
Generators of the group modulo torsion |
j |
-14183554845790800/199283 |
j-invariant |
L |
3.3287017649158 |
L(r)(E,1)/r! |
Ω |
0.37121396889269 |
Real period |
R |
1.1208837823718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116200o1 |
Quadratic twists by: 5 |