Atkin-Lehner |
2- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
101840k |
Isogeny class |
Conductor |
101840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-990699520 = -1 · 213 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 3 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8216,283924] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-190:1] [-28:702:1] |
Generators of the group modulo torsion |
j |
-14976071831449/241870 |
j-invariant |
L |
6.9626844528098 |
L(r)(E,1)/r! |
Ω |
1.4318727227307 |
Real period |
R |
1.2156605021345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12730b1 |
Quadratic twists by: -4 |