Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10150i |
Isogeny class |
Conductor |
10150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-298765250000 = -1 · 24 · 56 · 72 · 293 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-363,26281] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-218:1] |
Generators of the group modulo torsion |
j |
-338608873/19120976 |
j-invariant |
L |
5.0566875648568 |
L(r)(E,1)/r! |
Ω |
0.80371923864085 |
Real period |
R |
0.26215039415837 |
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 |
81200bu1 91350bb1 406b1 71050ca1 |
Quadratic twists by: -4 -3 5 -7 |