Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026c |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
608233581252 = 22 · 33 · 117 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4197,98753] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:460:1] [-8:367:1] |
Generators of the group modulo torsion |
j |
170953875/12716 |
j-invariant |
L |
6.0542465760449 |
L(r)(E,1)/r! |
Ω |
0.89611183839457 |
Real period |
R |
0.84451604094586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37026v1 3366l1 |
Quadratic twists by: -3 -11 |