Atkin-Lehner |
5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17825k |
Isogeny class |
Conductor |
17825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-30780154296875 = -1 · 59 · 232 · 313 |
Discriminant |
Eigenvalues |
-2 1 5- -4 6 -2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4458,288994] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1437:1] |
Generators of the group modulo torsion |
j |
-5017776128/15759439 |
j-invariant |
L |
2.6603678533848 |
L(r)(E,1)/r! |
Ω |
0.57979052869016 |
Real period |
R |
1.1471245741953 |
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 |
17825f1 |
Quadratic twists by: 5 |