Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10878bw |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-249845998682112 = -1 · 225 · 3 · 72 · 373 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -3 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1737,760857] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:899:1] |
Generators of the group modulo torsion |
j |
-11828855157217/5098897932288 |
j-invariant |
L |
8.6244720764496 |
L(r)(E,1)/r! |
Ω |
0.44969601480058 |
Real period |
R |
0.25571265306926 |
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 |
87024cs1 32634bg1 10878x1 |
Quadratic twists by: -4 -3 -7 |