Atkin-Lehner |
2+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850z |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
44045120000 = 29 · 54 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,13598] |
[a1,a2,a3,a4,a6] |
Generators |
[6:76:1] |
Generators of the group modulo torsion |
j |
7061881225/1438208 |
j-invariant |
L |
3.2339793364058 |
L(r)(E,1)/r! |
Ω |
1.0786645038924 |
Real period |
R |
1.4990664138039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996206247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850cs1 129850t1 |
Quadratic twists by: 5 -7 |