Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325d |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-592027734375 = -1 · 39 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,-37009] |
[a1,a2,a3,a4,a6] |
Generators |
[2370:20243:27] |
Generators of the group modulo torsion |
j |
-27/1925 |
j-invariant |
L |
5.7812150066272 |
L(r)(E,1)/r! |
Ω |
0.41905022303108 |
Real period |
R |
6.8979977683945 |
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 |
17325c1 3465c1 121275be1 |
Quadratic twists by: -3 5 -7 |