Atkin-Lehner |
2+ 3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674b |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-27576112375761768 = -1 · 23 · 39 · 7 · 132 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80907,-11908531] |
[a1,a2,a3,a4,a6] |
Generators |
[36389370:1283923307:27000] |
Generators of the group modulo torsion |
j |
-2975731436707875/1401011653496 |
j-invariant |
L |
3.9115478885588 |
L(r)(E,1)/r! |
Ω |
0.1384131417669 |
Real period |
R |
14.129972915239 |
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 |
37674m2 |
Quadratic twists by: -3 |