Atkin-Lehner |
2+ 3- 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24090i |
Isogeny class |
Conductor |
24090 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
197568 |
Modular degree for the optimal curve |
Δ |
-37399204656000 = -1 · 27 · 37 · 53 · 114 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-363558,84344056] |
[a1,a2,a3,a4,a6] |
Generators |
[260:-2853:1] |
Generators of the group modulo torsion |
j |
-5314263834524925061081/37399204656000 |
j-invariant |
L |
5.2021829326672 |
L(r)(E,1)/r! |
Ω |
0.58088095577763 |
Real period |
R |
0.21323043416189 |
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 |
72270bb1 120450bl1 |
Quadratic twists by: -3 5 |