Atkin-Lehner |
2- 3+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102v |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
102528 |
Modular degree for the optimal curve |
Δ |
-11119084793856 = -1 · 212 · 39 · 13 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59321,5578201] |
[a1,a2,a3,a4,a6] |
Generators |
[151:-292:1] |
Generators of the group modulo torsion |
j |
-1172872886217579/564908032 |
j-invariant |
L |
5.3554727601707 |
L(r)(E,1)/r! |
Ω |
0.70820932150875 |
Real period |
R |
0.63016594547235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24102b1 |
Quadratic twists by: -3 |