Atkin-Lehner |
2- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234be |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
1216843264 = 29 · 73 · 132 · 41 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -2 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-594,5457] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-201:1] [-19:107:1] |
Generators of the group modulo torsion |
j |
67468849911/3547648 |
j-invariant |
L |
7.3142335872133 |
L(r)(E,1)/r! |
Ω |
1.515423769512 |
Real period |
R |
0.13407019164409 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234bc1 |
Quadratic twists by: -7 |