Atkin-Lehner |
2- 3+ 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950cb |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
852480 |
Modular degree for the optimal curve |
Δ |
606138526080000 = 210 · 34 · 54 · 233 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -3 1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90938,10450631] |
[a1,a2,a3,a4,a6] |
Generators |
[-335:2027:1] [-255:4267:1] |
Generators of the group modulo torsion |
j |
133070009800095025/969821641728 |
j-invariant |
L |
12.594394632893 |
L(r)(E,1)/r! |
Ω |
0.51758554361534 |
Real period |
R |
0.067591589380073 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950w1 |
Quadratic twists by: 5 |