Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390m |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17176359217500 = 22 · 34 · 54 · 7 · 594 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93986,-11127661] |
[a1,a2,a3,a4,a6] |
Generators |
[-4749:2999:27] |
Generators of the group modulo torsion |
j |
91814970878288064289/17176359217500 |
j-invariant |
L |
6.1485540513579 |
L(r)(E,1)/r! |
Ω |
0.27267078866903 |
Real period |
R |
5.637342086927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120co4 37170q4 61950p4 86730cu4 |
Quadratic twists by: -4 -3 5 -7 |