Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970f |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-10722668544000 = -1 · 215 · 39 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5250,-59500] |
[a1,a2,a3,a4,a6] |
Generators |
[206:2327:8] |
Generators of the group modulo torsion |
j |
812949929037/544768000 |
j-invariant |
L |
3.4159525786286 |
L(r)(E,1)/r! |
Ω |
0.40954143201373 |
Real period |
R |
4.1704603143963 |
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 |
95760bv2 11970bo1 59850dw2 83790n2 |
Quadratic twists by: -4 -3 5 -7 |