Atkin-Lehner |
2- 5- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410bz |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
93408 |
Modular degree for the optimal curve |
Δ |
12048434090 = 2 · 5 · 78 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-622,-2621] |
[a1,a2,a3,a4,a6] |
Generators |
[-4589932:19872501:314432] |
Generators of the group modulo torsion |
j |
4609521/2090 |
j-invariant |
L |
11.713003486515 |
L(r)(E,1)/r! |
Ω |
0.99784948385949 |
Real period |
R |
11.738246758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410bj1 |
Quadratic twists by: -7 |