Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51940i |
Isogeny class |
Conductor |
51940 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-997663520000 = -1 · 28 · 54 · 76 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -2 -5 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2140,-30008] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-490:1] |
Generators of the group modulo torsion |
j |
35969456/33125 |
j-invariant |
L |
4.0853184964716 |
L(r)(E,1)/r! |
Ω |
0.48111950230971 |
Real period |
R |
0.35380316782264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1060a1 |
Quadratic twists by: -7 |