Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100368bl |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
33299693568 = 216 · 36 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1899,30618] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:224:1] |
Generators of the group modulo torsion |
j |
253636137/11152 |
j-invariant |
L |
8.4646236568742 |
L(r)(E,1)/r! |
Ω |
1.153975508299 |
Real period |
R |
1.833796212481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12546k1 11152t1 |
Quadratic twists by: -4 -3 |