Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296r |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-88140382460928 = -1 · 210 · 38 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7989,-358454] |
[a1,a2,a3,a4,a6] |
Generators |
[75:814:1] |
Generators of the group modulo torsion |
j |
75539392988/118072143 |
j-invariant |
L |
3.9468514981935 |
L(r)(E,1)/r! |
Ω |
0.31931729379086 |
Real period |
R |
1.5450351323513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648p4 12432m4 |
Quadratic twists by: -4 -3 |