Atkin-Lehner |
2- 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56240n |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
-4.2122838995763E+20 |
Discriminant |
Eigenvalues |
2- -1 5- 1 0 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75131360,-250633990400] |
[a1,a2,a3,a4,a6] |
j |
-11450580940464042778633441/102838962392000000 |
j-invariant |
L |
2.4614172770042 |
L(r)(E,1)/r! |
Ω |
0.025639763320935 |
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 |
7030j1 |
Quadratic twists by: -4 |