Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24684l |
Isogeny class |
Conductor |
24684 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
296208 = 24 · 32 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
352000/153 |
j-invariant |
L |
7.511038155522 |
L(r)(E,1)/r! |
Ω |
2.7691746120987 |
Real period |
R |
0.45206238968018 |
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 |
98736ck1 74052g1 24684g1 |
Quadratic twists by: -4 -3 -11 |