Atkin-Lehner |
2- 3+ 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32412a |
Isogeny class |
Conductor |
32412 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
50425811712 = 28 · 33 · 372 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1044,7560] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:130:1] [2:74:1] |
Generators of the group modulo torsion |
j |
492040858192/196975827 |
j-invariant |
L |
6.3029320557441 |
L(r)(E,1)/r! |
Ω |
1.0229728292896 |
Real period |
R |
2.0537958504466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129648w2 97236i2 |
Quadratic twists by: -4 -3 |