Atkin-Lehner |
3- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4929a |
Isogeny class |
Conductor |
4929 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3712 |
Modular degree for the optimal curve |
Δ |
-70725762603 = -1 · 316 · 31 · 53 |
Discriminant |
Eigenvalues |
0 3- -2 3 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-869,-16447] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1093:1] |
Generators of the group modulo torsion |
j |
-72657877860352/70725762603 |
j-invariant |
L |
3.572492927284 |
L(r)(E,1)/r! |
Ω |
0.42288386183549 |
Real period |
R |
0.52799557539538 |
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 |
78864k1 14787a1 123225f1 |
Quadratic twists by: -4 -3 5 |