Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240g |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
54363249920 = 28 · 5 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-996,-4880] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:76:1] |
Generators of the group modulo torsion |
j |
3631696/1805 |
j-invariant |
L |
2.5974644014591 |
L(r)(E,1)/r! |
Ω |
0.8944780990306 |
Real period |
R |
1.4519441025299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74480d2 760a2 |
Quadratic twists by: -4 -7 |