Atkin-Lehner |
3+ 5- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
123225k |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
298944 |
Modular degree for the optimal curve |
Δ |
804773233125 = 32 · 54 · 312 · 533 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 3 -2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-46733,3903893] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:2232:1] [-49:2464:1] |
Generators of the group modulo torsion |
j |
18060258888908800/1287637173 |
j-invariant |
L |
7.9160212686905 |
L(r)(E,1)/r! |
Ω |
0.85044983262202 |
Real period |
R |
0.25855667338019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123225n1 |
Quadratic twists by: 5 |