Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cc |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
1849502160 = 24 · 37 · 5 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40105,3104740] |
[a1,a2,a3,a4,a6] |
Generators |
[241692:1774192:1331] |
Generators of the group modulo torsion |
j |
445871918006910976/115593885 |
j-invariant |
L |
4.5685437206635 |
L(r)(E,1)/r! |
Ω |
1.1851811637629 |
Real period |
R |
7.7094436843444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460o1 |
Quadratic twists by: -4 |