Atkin-Lehner |
5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6815a |
Isogeny class |
Conductor |
6815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23400 |
Modular degree for the optimal curve |
Δ |
-272859821875 = -1 · 55 · 292 · 473 |
Discriminant |
Eigenvalues |
2 0 5+ 4 0 -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-59873,5638959] |
[a1,a2,a3,a4,a6] |
Generators |
[9252:4347:64] |
Generators of the group modulo torsion |
j |
-23736504859171467264/272859821875 |
j-invariant |
L |
7.8440379041386 |
L(r)(E,1)/r! |
Ω |
0.88801321444725 |
Real period |
R |
4.4166222847377 |
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 |
109040f1 61335m1 34075b1 |
Quadratic twists by: -4 -3 5 |