Atkin-Lehner |
2+ 3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048d |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-20423664 = -1 · 24 · 36 · 17 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 3 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76,311] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
-3074301184/1276479 |
j-invariant |
L |
8.1422025356136 |
L(r)(E,1)/r! |
Ω |
2.0246250612358 |
Real period |
R |
0.67026422897828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42024f1 |
Quadratic twists by: -4 |