Atkin-Lehner |
2- 3+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80142n |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
2318400 |
Modular degree for the optimal curve |
Δ |
-6.7417571530157E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 2 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,875598,238288959] |
[a1,a2,a3,a4,a6] |
Generators |
[1689:80019:1] |
Generators of the group modulo torsion |
j |
1578034006978967/1433017516032 |
j-invariant |
L |
11.704684972028 |
L(r)(E,1)/r! |
Ω |
0.1276710944856 |
Real period |
R |
0.99650462884749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218d1 |
Quadratic twists by: -19 |