Atkin-Lehner |
2+ 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752r |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-3786974208 = -1 · 210 · 37 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 5 7 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96915,-11612738] |
[a1,a2,a3,a4,a6] |
Generators |
[3863:239292:1] |
Generators of the group modulo torsion |
j |
-134855675090500/5073 |
j-invariant |
L |
6.3767844604843 |
L(r)(E,1)/r! |
Ω |
0.13529190376382 |
Real period |
R |
5.891690817605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998803024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584be1 |
Quadratic twists by: -3 |