Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900t |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-4980199218750000 = -1 · 24 · 32 · 512 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152633,23150988] |
[a1,a2,a3,a4,a6] |
Generators |
[1674:5175:8] |
Generators of the group modulo torsion |
j |
-1573011399294976/19920796875 |
j-invariant |
L |
8.5024811853104 |
L(r)(E,1)/r! |
Ω |
0.43353411785224 |
Real period |
R |
4.9030057761963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780f1 |
Quadratic twists by: 5 |