Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bx |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
-8.6705917744885E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -1 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40511205,-99269123373] |
[a1,a2,a3,a4,a6] |
Generators |
[22302:3176523:1] |
Generators of the group modulo torsion |
j |
-1795102530323910983888896/211684369494348891 |
j-invariant |
L |
6.1111070035412 |
L(r)(E,1)/r! |
Ω |
0.029920765139378 |
Real period |
R |
1.5711000434942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
777b1 49728dk1 37296ci1 87024co1 |
Quadratic twists by: -4 8 -3 -7 |