Atkin-Lehner |
5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17225h |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
591301953125 = 58 · 134 · 53 |
Discriminant |
Eigenvalues |
-2 -2 5- 1 -1 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-34458,2450244] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:2112:1] [102:84:1] |
Generators of the group modulo torsion |
j |
11583678115840/1513733 |
j-invariant |
L |
2.8443002261996 |
L(r)(E,1)/r! |
Ω |
0.88397629063486 |
Real period |
R |
0.53627008181291 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17225g1 |
Quadratic twists by: 5 |