Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325bu |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
15984748828125 = 312 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9750,-316719] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:1697:8] |
Generators of the group modulo torsion |
j |
359956480/56133 |
j-invariant |
L |
4.4845244547549 |
L(r)(E,1)/r! |
Ω |
0.48549594973887 |
Real period |
R |
4.6184983182321 |
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 |
5775y1 17325o1 121275gk1 |
Quadratic twists by: -3 5 -7 |