Atkin-Lehner |
2+ 3- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178x |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1410048 |
Modular degree for the optimal curve |
Δ |
1549462877254001556 = 22 · 38 · 73 · 119 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-301140,21501004] |
[a1,a2,a3,a4,a6] |
Generators |
[602:-7924:1] |
Generators of the group modulo torsion |
j |
4142879801959429441/2125463480458164 |
j-invariant |
L |
4.9911263989941 |
L(r)(E,1)/r! |
Ω |
0.23611615120729 |
Real period |
R |
0.19572626823586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33726o1 |
Quadratic twists by: -3 |