Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bw |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
3259153340352 = 26 · 316 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3764,20178] |
[a1,a2,a3,a4,a6] |
Generators |
[522:1755:8] |
Generators of the group modulo torsion |
j |
92173898928448/50924270943 |
j-invariant |
L |
3.1605704666653 |
L(r)(E,1)/r! |
Ω |
0.69076813163305 |
Real period |
R |
4.5754433679408 |
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 |
17472dd1 8736v3 52416fh1 122304hf1 |
Quadratic twists by: -4 8 -3 -7 |