Atkin-Lehner |
2- 3- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
80142u |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
176000 |
Modular degree for the optimal curve |
Δ |
479540235744 = 25 · 310 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -3 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5337,145881] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1467:1] [-60:531:1] |
Generators of the group modulo torsion |
j |
2451091949587/69914016 |
j-invariant |
L |
13.870788313079 |
L(r)(E,1)/r! |
Ω |
0.93000216588141 |
Real period |
R |
0.14914791408182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80142b1 |
Quadratic twists by: -19 |