Atkin-Lehner |
2+ 5+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
95450b |
Isogeny class |
Conductor |
95450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-11240192000000 = -1 · 214 · 56 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -1 -4 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14125,660125] |
[a1,a2,a3,a4,a6] |
Generators |
[85:245:1] [154:1395:1] |
Generators of the group modulo torsion |
j |
-19948814692561/719372288 |
j-invariant |
L |
6.8732497177144 |
L(r)(E,1)/r! |
Ω |
0.7133461384713 |
Real period |
R |
1.2044029796794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818d1 |
Quadratic twists by: 5 |