Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bh |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-6.676489080931E+20 |
Discriminant |
Eigenvalues |
2+ 1 -1 -3 11- 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2168159,-187717697] |
[a1,a2,a3,a4,a6] |
Generators |
[291:21632:1] |
Generators of the group modulo torsion |
j |
2427173723519/1437646496 |
j-invariant |
L |
5.1006326419072 |
L(r)(E,1)/r! |
Ω |
0.094540427979783 |
Real period |
R |
1.348796685689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dx1 3146c1 9152a1 |
Quadratic twists by: -4 8 -11 |