Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432bo |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-85929984 = -1 · 212 · 34 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 1 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2709,53379] |
[a1,a2,a3,a4,a6] |
Generators |
[30:3:1] |
Generators of the group modulo torsion |
j |
-536971313152/20979 |
j-invariant |
L |
6.6173237474123 |
L(r)(E,1)/r! |
Ω |
1.7965123620775 |
Real period |
R |
0.92085697364198 |
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 |
777c1 49728dh1 37296bs1 87024ce1 |
Quadratic twists by: -4 8 -3 -7 |