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 |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
121139889552 = 24 · 39 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1392,-10576] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:103:1] |
Generators of the group modulo torsion |
j |
11390625/4624 |
j-invariant |
L |
3.3141654341236 |
L(r)(E,1)/r! |
Ω |
0.80975001693567 |
Real period |
R |
1.0232063491231 |
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 |
37026u1 37026t1 |
Quadratic twists by: -3 -11 |