Atkin-Lehner |
2+ 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105264h |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-2464124976 = -1 · 24 · 36 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 0 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-462,4507] |
[a1,a2,a3,a4,a6] |
Generators |
[2022:6839:216] |
Generators of the group modulo torsion |
j |
-934979584/211259 |
j-invariant |
L |
8.993526076673 |
L(r)(E,1)/r! |
Ω |
1.3835465953653 |
Real period |
R |
6.5003420136987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52632l1 11696g1 |
Quadratic twists by: -4 -3 |