Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738k |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6585600 |
Modular degree for the optimal curve |
Δ |
-6.6121658872938E+19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 1 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64445393,-199113922851] |
[a1,a2,a3,a4,a6] |
Generators |
[16818:1855383:1] |
Generators of the group modulo torsion |
j |
-6132523645337085572913/13698834752512 |
j-invariant |
L |
3.9721445795811 |
L(r)(E,1)/r! |
Ω |
0.02664228878016 |
Real period |
R |
3.7272929383885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826g1 |
Quadratic twists by: 13 |