Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10878bp |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-99789384910860288 = -1 · 212 · 32 · 711 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,115737,1158345] |
[a1,a2,a3,a4,a6] |
j |
1457309849609375/848195776512 |
j-invariant |
L |
4.8712586900687 |
L(r)(E,1)/r! |
Ω |
0.2029691120862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024by1 32634r1 1554i1 |
Quadratic twists by: -4 -3 -7 |