Atkin-Lehner |
2- 3+ 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050ca |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
321408 |
Modular degree for the optimal curve |
Δ |
-79666053120000 = -1 · 218 · 36 · 54 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3137,425381] |
[a1,a2,a3,a4,a6] |
Generators |
[155:-2238:1] |
Generators of the group modulo torsion |
j |
5462338354175/127465684992 |
j-invariant |
L |
7.7188077830596 |
L(r)(E,1)/r! |
Ω |
0.45697304691732 |
Real period |
R |
0.15639968879733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100050bd1 |
Quadratic twists by: 5 |