Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24528w |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-134609664 = -1 · 28 · 3 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-789,-8817] |
[a1,a2,a3,a4,a6] |
Generators |
[71:546:1] |
Generators of the group modulo torsion |
j |
-212454080512/525819 |
j-invariant |
L |
8.3564547583575 |
L(r)(E,1)/r! |
Ω |
0.45028767185226 |
Real period |
R |
2.3197544816137 |
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 |
6132c1 98112bs1 73584bj1 |
Quadratic twists by: -4 8 -3 |