Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026b |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8752357020132 = -1 · 22 · 39 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4548,-80668] |
[a1,a2,a3,a4,a6] |
Generators |
[89:967:1] |
Generators of the group modulo torsion |
j |
397065375/334084 |
j-invariant |
L |
3.3141654341236 |
L(r)(E,1)/r! |
Ω |
0.40487500846784 |
Real period |
R |
2.0464126982461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37026u2 37026t2 |
Quadratic twists by: -3 -11 |