Atkin-Lehner |
2- 3- 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
92112m |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1293918633984 = -1 · 215 · 3 · 194 · 101 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -6 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1344,-50892] |
[a1,a2,a3,a4,a6] |
Generators |
[26:48:1] |
Generators of the group modulo torsion |
j |
65499561791/315898104 |
j-invariant |
L |
7.4714252662539 |
L(r)(E,1)/r! |
Ω |
0.43294783730429 |
Real period |
R |
2.1571378296707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11514c1 |
Quadratic twists by: -4 |