Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fn |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-479240080200000000 = -1 · 29 · 36 · 58 · 74 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11695,-33306303] |
[a1,a2,a3,a4,a6] |
Generators |
[2019:89640:1] |
Generators of the group modulo torsion |
j |
621257495/1682928128 |
j-invariant |
L |
10.822197868311 |
L(r)(E,1)/r! |
Ω |
0.13696537791176 |
Real period |
R |
0.73161215813088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950h1 116550bt1 |
Quadratic twists by: -3 5 |