Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970bn |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1608768000000 = 212 · 33 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18107,940331] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:634:1] |
Generators of the group modulo torsion |
j |
24315150763476243/59584000000 |
j-invariant |
L |
7.426188341808 |
L(r)(E,1)/r! |
Ω |
0.84625042325412 |
Real period |
R |
1.0969253511939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
95760cl1 11970e3 59850g1 83790cs1 |
Quadratic twists by: -4 -3 5 -7 |