Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342k |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-214580285126403714 = -1 · 2 · 36 · 715 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1487943,-698581913] |
[a1,a2,a3,a4,a6] |
Generators |
[389476475747385:-10227097042062697:223096324625] |
Generators of the group modulo torsion |
j |
-4247828669470177/2501923634 |
j-invariant |
L |
5.1669360044328 |
L(r)(E,1)/r! |
Ω |
0.068345138781337 |
Real period |
R |
18.900159164808 |
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 |
3038h3 3906l3 |
Quadratic twists by: -3 -7 |