Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136r |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
7340046336 = 211 · 35 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -6 5 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-576,-3564] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:36:1] [-12:42:1] |
Generators of the group modulo torsion |
j |
30138446/10449 |
j-invariant |
L |
12.824089990207 |
L(r)(E,1)/r! |
Ω |
1.0019969023498 |
Real period |
R |
0.31996331427424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50568k1 101136d1 |
Quadratic twists by: -4 -7 |