Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026m |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
8.9310725884466E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9016398,-9374186156] |
[a1,a2,a3,a4,a6] |
Generators |
[-1297:12353:1] |
Generators of the group modulo torsion |
j |
62768149033310713/6915442583808 |
j-invariant |
L |
1.6332468634556 |
L(r)(E,1)/r! |
Ω |
0.087747834273381 |
Real period |
R |
2.3266199060361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342v1 3366o1 |
Quadratic twists by: -3 -11 |