Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100860j |
Isogeny class |
Conductor |
100860 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
143728654124178000 = 24 · 32 · 53 · 418 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-607401,-181492776] |
[a1,a2,a3,a4,a6] |
Generators |
[-629288:625332:1331] |
Generators of the group modulo torsion |
j |
326082740224/1891125 |
j-invariant |
L |
6.8470508792137 |
L(r)(E,1)/r! |
Ω |
0.17107332616488 |
Real period |
R |
6.6706784439159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999976853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2460a1 |
Quadratic twists by: 41 |