Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784ce |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12849408 |
Modular degree for the optimal curve |
Δ |
-2.1620612062204E+25 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 13- -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125414280,-585010378512] |
[a1,a2,a3,a4,a6] |
j |
-5022437771811277/497757560832 |
j-invariant |
L |
0.53834392688949 |
L(r)(E,1)/r! |
Ω |
0.022430996964525 |
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 |
7098m1 56784bp1 |
Quadratic twists by: -4 13 |