Atkin-Lehner |
2- 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12502c |
Isogeny class |
Conductor |
12502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4736 |
Modular degree for the optimal curve |
Δ |
1900304 = 24 · 7 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2476,48031] |
[a1,a2,a3,a4,a6] |
j |
1678074290715537/1900304 |
j-invariant |
L |
1.1094551522174 |
L(r)(E,1)/r! |
Ω |
2.2189103044348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100016p1 112518g1 87514u1 |
Quadratic twists by: -4 -3 -7 |