Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390m |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-756225585937500 = -1 · 22 · 3 · 516 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,18294,-910797] |
[a1,a2,a3,a4,a6] |
Generators |
[317:5913:1] |
Generators of the group modulo torsion |
j |
677092888826881631/756225585937500 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120co3 37170q3 61950p3 86730cu3 |
Quadratic twists by: -4 -3 5 -7 |