Atkin-Lehner |
2- 3- 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
92112n |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
17190309888 = 212 · 37 · 19 · 101 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1237,15107] |
[a1,a2,a3,a4,a6] |
Generators |
[14:27:1] |
Generators of the group modulo torsion |
j |
51147440128/4196853 |
j-invariant |
L |
10.789478881777 |
L(r)(E,1)/r! |
Ω |
1.2032945282823 |
Real period |
R |
1.2809450131973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5757b1 |
Quadratic twists by: -4 |