Atkin-Lehner |
2+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4730b |
Isogeny class |
Conductor |
4730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
93770547200 = 216 · 52 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29894,-1981900] |
[a1,a2,a3,a4,a6] |
Generators |
[1459124:6944678:6859] |
Generators of the group modulo torsion |
j |
2954499865542011961/93770547200 |
j-invariant |
L |
2.9248175557468 |
L(r)(E,1)/r! |
Ω |
0.36308114235138 |
Real period |
R |
8.0555479604506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37840bb1 42570x1 23650l1 52030x1 |
Quadratic twists by: -4 -3 5 -11 |