Atkin-Lehner |
5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
4355c |
Isogeny class |
Conductor |
4355 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-176921875 = -1 · 56 · 132 · 67 |
Discriminant |
Eigenvalues |
0 -2 5- -4 0 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5155,140756] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:487:1] [-10:437:1] |
Generators of the group modulo torsion |
j |
-15152837487394816/176921875 |
j-invariant |
L |
3.0093293988314 |
L(r)(E,1)/r! |
Ω |
1.6379204322324 |
Real period |
R |
1.3779650126525 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69680bf1 39195i1 21775a1 56615b1 |
Quadratic twists by: -4 -3 5 13 |