Atkin-Lehner |
2- 3- 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950cp |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
535680 |
Modular degree for the optimal curve |
Δ |
-309870256320000 = -1 · 29 · 310 · 54 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7513,882617] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:1049:1] |
Generators of the group modulo torsion |
j |
-75039075390625/495792410112 |
j-invariant |
L |
13.908873436815 |
L(r)(E,1)/r! |
Ω |
0.46887827520597 |
Real period |
R |
0.054933602933129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950l1 |
Quadratic twists by: 5 |