Atkin-Lehner |
2+ 3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674b |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-47293740681642 = -1 · 2 · 33 · 73 · 136 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7818,194742] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:2997:8] |
Generators of the group modulo torsion |
j |
1957112084989125/1751620025246 |
j-invariant |
L |
3.9115478885588 |
L(r)(E,1)/r! |
Ω |
0.4152394253007 |
Real period |
R |
4.7099909717463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
37674m4 |
Quadratic twists by: -3 |