Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
120540bb |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
51701760 |
Modular degree for the optimal curve |
Δ |
-7.6307902432263E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 0 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-971883901,11669157183599] |
[a1,a2,a3,a4,a6] |
j |
-3370844136847851709259776/2533619018232421875 |
j-invariant |
L |
4.1264184148494 |
L(r)(E,1)/r! |
Ω |
0.060682632232759 |
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 |
17220g1 |
Quadratic twists by: -7 |