Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850ci |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-1.0005653885254E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -2 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7677713,8201831917] |
[a1,a2,a3,a4,a6] |
Generators |
[1406:661797:8] |
Generators of the group modulo torsion |
j |
-65373724861683693721/130686091562500 |
j-invariant |
L |
7.0815913821497 |
L(r)(E,1)/r! |
Ω |
0.18942462817136 |
Real period |
R |
4.6730931081778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999812697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970h1 129850bl1 |
Quadratic twists by: 5 -7 |