Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176by |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
1206337536 = 214 · 36 · 101 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 6 -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2496,47968] |
[a1,a2,a3,a4,a6] |
Generators |
[226:9:8] |
Generators of the group modulo torsion |
j |
143982592/101 |
j-invariant |
L |
7.8957489173258 |
L(r)(E,1)/r! |
Ω |
1.5232921433663 |
Real period |
R |
2.591672566392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176s1 14544ba1 6464p1 |
Quadratic twists by: -4 8 -3 |