Atkin-Lehner |
3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
101907h |
Isogeny class |
Conductor |
101907 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
486720 |
Modular degree for the optimal curve |
Δ |
-2669463285588801 = -1 · 36 · 138 · 672 |
Discriminant |
Eigenvalues |
1 3- 1 2 6 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,34191,-516398] |
[a1,a2,a3,a4,a6] |
Generators |
[643682:12532382:6859] |
Generators of the group modulo torsion |
j |
7433231/4489 |
j-invariant |
L |
10.850077298479 |
L(r)(E,1)/r! |
Ω |
0.26449608917162 |
Real period |
R |
10.255423176404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11323d1 101907c1 |
Quadratic twists by: -3 13 |