Atkin-Lehner |
2- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31450s |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-3363675781250 = -1 · 2 · 59 · 17 · 373 |
Discriminant |
Eigenvalues |
2- -1 5- 0 6 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41013,-3215219] |
[a1,a2,a3,a4,a6] |
Generators |
[909474112317590:-3357058221370847:3821292860104] |
Generators of the group modulo torsion |
j |
-3906240234749/1722202 |
j-invariant |
L |
7.6398472664414 |
L(r)(E,1)/r! |
Ω |
0.16773652215793 |
Real period |
R |
22.773356595673 |
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 |
31450g1 |
Quadratic twists by: 5 |