Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360bm |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-2.1021875E+19 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 1 -1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543472,269151664] |
[a1,a2,a3,a4,a6] |
Generators |
[-607:19375:1] |
Generators of the group modulo torsion |
j |
-4334063657515831296/5132293701171875 |
j-invariant |
L |
3.336075918082 |
L(r)(E,1)/r! |
Ω |
0.19510314497445 |
Real period |
R |
0.50291285646082 |
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 |
1085f1 69440cz1 86800bh1 121520bm1 |
Quadratic twists by: -4 8 5 -7 |