Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10878s |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-30088025856 = -1 · 28 · 33 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,758,2300] |
[a1,a2,a3,a4,a6] |
Generators |
[4:71:1] [13:113:1] |
Generators of the group modulo torsion |
j |
410172407/255744 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
87024cu1 32634ce1 222c1 |
Quadratic twists by: -4 -3 -7 |