Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150r |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
3894912000000000 = 216 · 33 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68575,6197125] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:2695:1] |
Generators of the group modulo torsion |
j |
18260010268037/1994194944 |
j-invariant |
L |
2.7339434706748 |
L(r)(E,1)/r! |
Ω |
0.4272231570684 |
Real period |
R |
3.1996667613187 |
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 |
72450ev1 24150cr1 |
Quadratic twists by: -3 5 |