Atkin-Lehner |
2- 3- 13- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42978t |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-367567110144 = -1 · 216 · 33 · 13 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 -6 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2801,63849] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2683:1] [28:-101:1] |
Generators of the group modulo torsion |
j |
-2430371866120849/367567110144 |
j-invariant |
L |
12.875723503074 |
L(r)(E,1)/r! |
Ω |
0.921837947182 |
Real period |
R |
0.14549424899864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934p1 |
Quadratic twists by: -3 |