Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10950a |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
41062500 = 22 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-325,-2375] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] |
Generators of the group modulo torsion |
j |
244140625/2628 |
j-invariant |
L |
3.2005619212366 |
L(r)(E,1)/r! |
Ω |
1.1247015167027 |
Real period |
R |
1.4228494732627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600cd1 32850bl1 438b1 |
Quadratic twists by: -4 -3 5 |