Atkin-Lehner |
2+ 3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426v |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
563762909790864 = 24 · 38 · 72 · 194 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31743,1860925] |
[a1,a2,a3,a4,a6] |
Generators |
[197:-1894:1] [-58:1901:1] |
Generators of the group modulo torsion |
j |
4852301599161073/773337324816 |
j-invariant |
L |
7.196667405453 |
L(r)(E,1)/r! |
Ω |
0.49548513907983 |
Real period |
R |
1.815560860908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23142y2 |
Quadratic twists by: -3 |