Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330be |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3649536 |
Modular degree for the optimal curve |
Δ |
-505046630400000000 = -1 · 227 · 3 · 58 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2908299,-1909551434] |
[a1,a2,a3,a4,a6] |
Generators |
[134680109124081340879443502:2146110018765884508745739087:64313826761521730390824] |
Generators of the group modulo torsion |
j |
-16097333982386425236481/2988441600000000 |
j-invariant |
L |
4.6041118257188 |
L(r)(E,1)/r! |
Ω |
0.05780361189331 |
Real period |
R |
39.825468296139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330dd1 |
Quadratic twists by: 13 |