Atkin-Lehner |
3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325q |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-367453125 = -1 · 33 · 56 · 13 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -3 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-676,-6877] |
[a1,a2,a3,a4,a6] |
Generators |
[57:346:1] |
Generators of the group modulo torsion |
j |
-2181825073/23517 |
j-invariant |
L |
7.4930187684851 |
L(r)(E,1)/r! |
Ω |
0.46793001557591 |
Real period |
R |
2.6688530758517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2613a1 |
Quadratic twists by: 5 |