Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bj |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-21632701612032 = -1 · 214 · 39 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6885,-41526] |
[a1,a2,a3,a4,a6] |
Generators |
[13:224:1] |
Generators of the group modulo torsion |
j |
447697125/268324 |
j-invariant |
L |
5.5924623521195 |
L(r)(E,1)/r! |
Ω |
0.39607653769944 |
Real period |
R |
1.7649563341355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4662j2 37296bi2 |
Quadratic twists by: -4 -3 |