Atkin-Lehner |
2+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850x |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14411520 |
Modular degree for the optimal curve |
Δ |
-2.0696117247783E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -6 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25492952,50030081856] |
[a1,a2,a3,a4,a6] |
Generators |
[1040:156456:1] |
Generators of the group modulo torsion |
j |
-299142427403768510953629/3378957918005384192 |
j-invariant |
L |
3.1670612063963 |
L(r)(E,1)/r! |
Ω |
0.1218165701894 |
Real period |
R |
6.4996519076395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850dh1 129850r1 |
Quadratic twists by: 5 -7 |