Atkin-Lehner |
2- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100016p |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
7783645184 = 216 · 7 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39611,-3034390] |
[a1,a2,a3,a4,a6] |
Generators |
[6303:17920:27] |
Generators of the group modulo torsion |
j |
1678074290715537/1900304 |
j-invariant |
L |
4.0413118816373 |
L(r)(E,1)/r! |
Ω |
0.33841190489349 |
Real period |
R |
5.9709954319224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12502c1 |
Quadratic twists by: -4 |