Atkin-Lehner |
2+ 3+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746k |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-126857016 = -1 · 23 · 34 · 11 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 11- 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1837,29557] |
[a1,a2,a3,a4,a6] |
Generators |
[1:166:1] |
Generators of the group modulo torsion |
j |
-686152305984601/126857016 |
j-invariant |
L |
4.3635893135128 |
L(r)(E,1)/r! |
Ω |
1.7992511823935 |
Real period |
R |
0.60630630067279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238ch1 |
Quadratic twists by: -3 |