Atkin-Lehner |
2+ 3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266a |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
787584 |
Modular degree for the optimal curve |
Δ |
-111650620669319466 = -1 · 2 · 39 · 72 · 17 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -6 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-745269,248345927] |
[a1,a2,a3,a4,a6] |
Generators |
[487:607:1] |
Generators of the group modulo torsion |
j |
-2325797599192318467/5672439194702 |
j-invariant |
L |
3.8348229625031 |
L(r)(E,1)/r! |
Ω |
0.33422138422629 |
Real period |
R |
2.868475166095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266bf1 |
Quadratic twists by: -3 |