Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850w |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-625715669644083200 = -1 · 219 · 52 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 1 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-136980,-42826160] |
[a1,a2,a3,a4,a6] |
Generators |
[47956:1039175:64] |
Generators of the group modulo torsion |
j |
-96643333791265/212739817472 |
j-invariant |
L |
3.0013845199098 |
L(r)(E,1)/r! |
Ω |
0.11616196916785 |
Real period |
R |
6.4594818368929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31850ci1 4550a1 |
Quadratic twists by: 5 -7 |