Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992l |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-192023805689856 = -1 · 217 · 39 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 1 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25164,1674864] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-432:1] [-3:1323:1] |
Generators of the group modulo torsion |
j |
-683064198/74431 |
j-invariant |
L |
9.7886450781723 |
L(r)(E,1)/r! |
Ω |
0.55166023752972 |
Real period |
R |
1.1089983935353 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992dz1 15624b1 124992k1 |
Quadratic twists by: -4 8 -3 |