Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4774i |
Isogeny class |
Conductor |
4774 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-73939712 = -1 · 28 · 7 · 113 · 31 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11- -2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,98,219] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:11:1] |
Generators of the group modulo torsion |
j |
104021936927/73939712 |
j-invariant |
L |
5.0012074888361 |
L(r)(E,1)/r! |
Ω |
1.2307894866812 |
Real period |
R |
0.16930892538745 |
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 |
38192s1 42966i1 119350o1 33418bo1 |
Quadratic twists by: -4 -3 5 -7 |