Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10878y |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
-45625638912 = -1 · 223 · 3 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 1 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2108,-39523] |
[a1,a2,a3,a4,a6] |
Generators |
[77:473:1] |
Generators of the group modulo torsion |
j |
-21142304724625/931135488 |
j-invariant |
L |
5.8824421673195 |
L(r)(E,1)/r! |
Ω |
0.35138558027974 |
Real period |
R |
0.72785671767532 |
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 |
87024dg1 32634o1 10878bj1 |
Quadratic twists by: -4 -3 -7 |