Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402r |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-410124414 = -1 · 2 · 3 · 77 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 -2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2941,-62623] |
[a1,a2,a3,a4,a6] |
Generators |
[3534:72023:8] |
Generators of the group modulo torsion |
j |
-23912763841/3486 |
j-invariant |
L |
6.6307543035625 |
L(r)(E,1)/r! |
Ω |
0.32414642447845 |
Real period |
R |
5.1140116031137 |
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 |
73206q1 3486l1 |
Quadratic twists by: -3 -7 |