Atkin-Lehner |
2+ 3+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80142b |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3344000 |
Modular degree for the optimal curve |
Δ |
2.2560392865524E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 -3 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1926664,-1004451104] |
[a1,a2,a3,a4,a6] |
Generators |
[-875:3961:1] |
Generators of the group modulo torsion |
j |
2451091949587/69914016 |
j-invariant |
L |
1.9646834939864 |
L(r)(E,1)/r! |
Ω |
0.1283675005148 |
Real period |
R |
3.8262868136066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80142u1 |
Quadratic twists by: -19 |