Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bz |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
3182592 = 212 · 3 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264,-1740] |
[a1,a2,a3,a4,a6] |
Generators |
[498:64:27] |
Generators of the group modulo torsion |
j |
498677257/777 |
j-invariant |
L |
4.9128616051903 |
L(r)(E,1)/r! |
Ω |
1.1841377121819 |
Real period |
R |
4.1488937938963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
777a1 49728dn1 37296co1 87024ct1 |
Quadratic twists by: -4 8 -3 -7 |