Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391j |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
1858359345381 = 33 · 7 · 11 · 197 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- 11+ 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-417436,-103669470] |
[a1,a2,a3,a4,a6] |
Generators |
[-127876:370:343] |
Generators of the group modulo torsion |
j |
170990840664064/39501 |
j-invariant |
L |
2.3070360191977 |
L(r)(E,1)/r! |
Ω |
0.18782439514274 |
Real period |
R |
3.070735316018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389g1 |
Quadratic twists by: -19 |