Atkin-Lehner |
2- 3+ 13+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42978f |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
23744 |
Modular degree for the optimal curve |
Δ |
-52261248 = -1 · 27 · 3 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 -3 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20,341] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:17:1] [-1:19:1] |
Generators of the group modulo torsion |
j |
-887503681/52261248 |
j-invariant |
L |
8.6690153850834 |
L(r)(E,1)/r! |
Ω |
1.6518095020944 |
Real period |
R |
0.37487094235976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934h1 |
Quadratic twists by: -3 |