Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10878s |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1878621114384 = 24 · 36 · 76 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3162,17980] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:189:1] [-31:309:1] |
Generators of the group modulo torsion |
j |
29704593673/15968016 |
j-invariant |
L |
4.8302691282136 |
L(r)(E,1)/r! |
Ω |
0.72819003503332 |
Real period |
R |
1.1055422567894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87024cu2 32634ce2 222c2 |
Quadratic twists by: -4 -3 -7 |