Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026i |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-208294741995965064 = -1 · 23 · 310 · 1110 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11- 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2745,-21957611] |
[a1,a2,a3,a4,a6] |
Generators |
[89447:26706692:1] |
Generators of the group modulo torsion |
j |
-121/11016 |
j-invariant |
L |
2.9803711604749 |
L(r)(E,1)/r! |
Ω |
0.14461195892095 |
Real period |
R |
10.304718858359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342t1 37026bh1 |
Quadratic twists by: -3 -11 |