Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026a |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
294385053325968 = 24 · 33 · 119 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18717,-533835] |
[a1,a2,a3,a4,a6] |
Generators |
[162:735:1] |
Generators of the group modulo torsion |
j |
11390625/4624 |
j-invariant |
L |
4.7162480258711 |
L(r)(E,1)/r! |
Ω |
0.42287815457475 |
Real period |
R |
2.7881837680956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37026t1 37026u1 |
Quadratic twists by: -3 -11 |