Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648l |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
64383040512 = 210 · 38 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,2014] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:108:1] |
Generators of the group modulo torsion |
j |
153091012/86247 |
j-invariant |
L |
4.1560556536734 |
L(r)(E,1)/r! |
Ω |
0.95189806524687 |
Real period |
R |
1.0915180431099 |
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 |
37296k2 6216s2 |
Quadratic twists by: -4 -3 |