Atkin-Lehner |
2- 3- 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bs |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
574464 |
Modular degree for the optimal curve |
Δ |
-239949703884570624 = -1 · 234 · 36 · 72 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-389624,96627323] |
[a1,a2,a3,a4,a6] |
Generators |
[301:2409:1] |
Generators of the group modulo torsion |
j |
-8972887872541465657/329149113696256 |
j-invariant |
L |
10.559522443746 |
L(r)(E,1)/r! |
Ω |
0.3107555816441 |
Real period |
R |
0.99941628683845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474b1 |
Quadratic twists by: -3 |