Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025l |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-173111627671875 = -1 · 33 · 56 · 177 |
Discriminant |
Eigenvalues |
2 3+ 5+ -2 3 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21675,1381781] |
[a1,a2,a3,a4,a6] |
Generators |
[882:4607:8] |
Generators of the group modulo torsion |
j |
-110592/17 |
j-invariant |
L |
12.529303983014 |
L(r)(E,1)/r! |
Ω |
0.55172309021643 |
Real period |
R |
5.6773516483266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025m1 2601d1 3825d1 |
Quadratic twists by: -3 5 17 |