Atkin-Lehner |
2+ 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950bd |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
61496250000 = 24 · 3 · 57 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-524768001,4626952338148] |
[a1,a2,a3,a4,a6] |
Generators |
[13282:4571:1] [38032:6280196:1] |
Generators of the group modulo torsion |
j |
1022835328325019647011860481/3935760 |
j-invariant |
L |
8.9162289751866 |
L(r)(E,1)/r! |
Ω |
0.23598705555077 |
Real period |
R |
18.89135180574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390k4 |
Quadratic twists by: 5 |