Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824m |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
606720 |
Modular degree for the optimal curve |
Δ |
-1076447232 = -1 · 211 · 36 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 1 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1494219,703022938] |
[a1,a2,a3,a4,a6] |
Generators |
[729:1076:1] |
Generators of the group modulo torsion |
j |
-247120625675830034/721 |
j-invariant |
L |
8.6548343190961 |
L(r)(E,1)/r! |
Ω |
0.72735438697535 |
Real period |
R |
2.9747652750179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51912s1 11536c1 |
Quadratic twists by: -4 -3 |