Atkin-Lehner |
2+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49504b |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2868480 |
Modular degree for the optimal curve |
Δ |
-6.2226208340183E+21 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ -4 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,352024,-3794437008] |
[a1,a2,a3,a4,a6] |
j |
1177824501799285248/1519194539555253379 |
j-invariant |
L |
0.74886105908947 |
L(r)(E,1)/r! |
Ω |
0.062405088268964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49504p1 99008b1 |
Quadratic twists by: -4 8 |