Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850cb |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-25818440703125000 = -1 · 23 · 510 · 76 · 532 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 5 0 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,60612,5199781] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:10605:8] |
Generators of the group modulo torsion |
j |
21434375/22472 |
j-invariant |
L |
9.2946132641289 |
L(r)(E,1)/r! |
Ω |
0.24917114748224 |
Real period |
R |
3.1085103498295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000018742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850bd1 2650g1 |
Quadratic twists by: 5 -7 |