Atkin-Lehner |
3+ 5+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
24495b |
Isogeny class |
Conductor |
24495 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
712800 |
Modular degree for the optimal curve |
Δ |
2490717382470703125 = 310 · 511 · 233 · 71 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 -3 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-374296,-44630724] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:2794:1] |
Generators of the group modulo torsion |
j |
5799231293649229287424/2490717382470703125 |
j-invariant |
L |
1.8390678629552 |
L(r)(E,1)/r! |
Ω |
0.20066279782365 |
Real period |
R |
1.5274944524689 |
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 |
73485j1 122475t1 |
Quadratic twists by: -3 5 |