Atkin-Lehner |
2+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38962o |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18048 |
Modular degree for the optimal curve |
Δ |
-1518037444 = -1 · 22 · 72 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 11- -3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,280,-588] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-84:1] [8:42:1] |
Generators of the group modulo torsion |
j |
165483351/103684 |
j-invariant |
L |
6.4176105122569 |
L(r)(E,1)/r! |
Ω |
0.86823080603397 |
Real period |
R |
0.30798312632122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38962bb1 |
Quadratic twists by: -11 |